In the tunneling framework of hawking radiation, charged particles tunneling in the modified reissnernordstrom black hole from gravitys rainbow is investigated. In this research we considered the hawking temperature of a reissner nordstrom vaidya black hole, i. In this paper we study the strong gravitational lensing scenario where the lens is a reissner nordstrom black hole. We obtain the basic equations for the deflection angle and time delay and find analytical expressions for the positions and amplifications of the primary and secondary images. On the horizon instability of an extreme reissnernordstrom black hole by james lucietti, keiju murata, harvey s. Motion of a test particle in the reissnernordstr om spacetime. Processing information with complexplot3d clarifies some of the empirical analysis. Finally, a quick discussion of the properties of a reissnernordstrom black hole is given. A black hole is an incredibly dense remnant of a star that has collapsed into a singularity under its own gravity upon running out of fuel. Growth of black hole once a black hole has formed, it can continue to grow by absorbing additional matter. General relativityreissnernordstrom black hole wikibooks. We also study the thermodynamics of the black hole solution. Once we make the singularities manageable from mathematical viewpoint, we can extend analytically the black hole solutions and then choose from the maximal extensions globally hyperbolic regions. We obtain the basic equations and show that, as in the case of a schwarzschild black hole, in addition to the primary and secondary.
Hawking temperature of the reissnernordstromvaidya black hole. Nordstrom black holes, within a cavity was first studied in 26 and we will find correction for their entropy as well for. Pdf reissnernordstrom black hole in dark energy background. The wave equation on extreme reissnernordstrom black holes has recently been studied. Elsevier 7 march 1994 physics letters a 186 1994 4146 on the second order phase transition of a reissner nordstrom black hole y. Regular reissnernordstrom black hole solutions from linear electrodynamics. While the first few, slowly damped, modes depend on the charge of the black hole in a relatively simple way, we find that the rapidly damped modes show several peculiar features. Black hole evaporation and positive mass theorems 1 introduction stephen hawking published his paper \particle creation by black holes 1 in 1975. The exterior or domain of outer communication of the extreme reissnernordstrom. We study the longlived modes of the charge density and energy density correlators in the stronglycoupled, finite density field theory dual to the ads4 reissnernordstrom black hole. In the sequence, considering after an equation of state.
The same way as mapping schwarzschild coordinates onto kruskalszekeres coordinate reveals two seperate external regions for the schwarzschild black hole, such a mapping done for a charged or rotating hole. The rst indirect astronomical observation of black holes occurred in the 70s, but scientists were skeptical. Motion of charged particle in reissnernordstrom spacetime. In particular, since reissnernordstrom bhs exhibit several of the effects of rotation e. Hidden conformal symmetry of the reissnernordstrom black holes. In this research paper, we have used the formula for gravitational force acting between the black hole and light particle passing near the radius of event horizon of black holes mahto. Also this result reproduces the schwarzschild stable orbit, r 3r s, in the limit r q. Lichun zhang 0 1 mengsen ma 0 1 huihua zhao 0 1 ren zhao 0 1 0 department of physics, shanxi datong university, datong 037009, china 1 institute of theoretical physics, shanxi datong university, datong 037009, china it is well known that there are the black hole horizon and the cosmological horizon for the reissnernordstrmde sitter rnds spacetime. We investigate the existence of reissner nordstr\om rn type black holes in fr gravity. Introduction theories with extra dimensions admit astrophysical objects supermassive black holes in particular which are rather di. It was shown by many authors that in the linear approximation the cauchy horizon in the reissner nordstrom black hole is unstable against perturbations scalar as well as tensor or spinor and classical as well as quantum arising on or outside the event horizon z, 3,4,5,61. The most astrophysically realistic case is that of a rotating, neutral black hole.
Hawking temperature of the reissnernordstromvaidya black. White holes and wormholes white holes are not proved to exist. Real black holes probably spin, but probably have almost no electric charge, because our universe appears to be electrically neutral, and a charged black hole would quickly neutralize by attracting. Our emphasis is to derive, in the presence of electrostatic source, the necessary conditions which provide such static, spherically symmetric sss black holes available in fr gravity by applying the near horizon test method. Hole in fr gravity morteza kerachian submitted to the institute of graduate studies and research in partial ful.
Sarita chauhan seminar on black hole linkedin slideshare. The reissner nordstrom vaidya is obtained by embedding reissner nordstrom solution into the nonrotating vaidya. During world war i he was awarded the iron cross second class for civilians for his pioneering work on aircraft design biography. Pdf superradiant stability of mutated reissnernordstrom. The reissner nordstrom metric now we are left with only one unknown variable, r which is given in eq. Finally, for the electromagnetic eld strength tensor we obtain f 1 p 4. Observational signatures for reissnernordstr om black. Now, clearly, the metric of a charged black hole will be a reissner nordstrom metric, but my doubt is that can this metric also represent something else. A quantum mechanical model of the reissnernordstrom black. For schwarzschild in d greater than or equal to 4 we find that the asymptotic real part is t hawking log3 for scalar perturbations and for some gravitational perturbations. Existence of reissnernordstrom type black holes in fr gravity.
A remark about wave equations on the extreme reissner. Objects with a charge greater than their mass can exist in nature, but they can not collapse down to a black hole, and if they could, they would display a. Since the schwarzschild \time coordinate t goes to in. Entering a black hole reissner nordstrom you would still be broken apart by the tidal forces within the outer horizon the singularity would appear as a place in time within the inner horizon time and space change roles again and so the singularity appears as a place in space, which is avoidable. In section economic reissnernordstrom rn 3d black hole we gave formulas and their approximations for black hole entropy and internal political stability in the roegenian economics, highlighting the situation in us and china. The reissnernordstrom metric now we are left with only one unknown variable, r which is given in eq. This is journey into and through a reissnernordstrom black hole by andrew hamilton on vimeo, the home for high quality videos and the people who. Journey into and through a reissnernordstrom black hole. Entropy of reissnernordstrom 3d black hole in roegenian.
General properties of such a black hole are described in the article charged black hole. Reissnernordstrom black hole in noncommutative spaces. Regular reissnernordstr\ om black hole solutions from linear. A schwarzschild black hole has no charge and no electrostatic potential. Black holes have extremely strong gravitational fields, similar to cosmic string fragments, so powerful that not even light can escape. Entropy corrections for schwarzschild and reissnernordstrom. We also have generalized the former one considering.
The known charged rotating black hole solution is the kerrnewman metric. Pdf energy distribution in reissnernordstrom antide sitter black. We study gravitational lensing by a reissner nordstrom rn black hole in the weak field limit. To this end, following the schwarzschild solution in gravitys rainbow, the metric of the modified reissnernordstrom black hole is given. In physics and astronomy, the reissner nordstrom metric is a static solution to the einsteinmaxwell field equations, which corresponds to the gravitational field of a charged, nonrotating, spherically symmetric body of mass m. Charged particles tunneling in a modified reissner. Andreas vigand pedersenaspects of black hole physics 3 chapters 14, 810, 1214 and lee00, chapters 17. Similarly, we also find the kerrnewmanvaidya black hole, when kerr. Then we find spacelike foliations for these regions, with the implication that the initial data can be preserved in reasonable situations.
Download pdf 148 kb abstract in this paper, we study by a functional method the vacuum instability of a charged scalar field, when it is quantized in the background of the reissnernordtrom black hole. Diagram of the positive mass ef spacetime, suppressing the angular coordinates, with constant r surfaces vertical and constant v surfaces at 45. The reissner nordstrom geometry describes the geometry of empty space surrounding a charged black hole. Lau institute of theoretical physics, academia sinica, p. Energy, angular momentum and charge in curved spacetime. Reissnernordstrom black hole plural reissnernordstrom black holes. A reissnernordstrom black hole is a black hole with mass and electric charge, but no spin. We investigate the behaviour of a noncommutative radiating reissner nordstrom reno black hole. Spontaneous loss of charge of the reissnernordstrom black hole. Angel, oregon, was a german aeronautical engineer whose avocation was mathematical physics. Thermodynamics of the schwarzschild and the reissner. In this paper we propose a class of embedded solutions of einsteins field equations describing nonrotating reissner nordstrom vaidya and rotating kerrnewmanvaidya black holes.
The late20th century nasa probe voyager 6 disappeared into a spatial anomaly that at the time was believed to be a. Charged black holes in vaidya backgrounds hawkings. The wave equation on the extreme reissnernordstrom black hole. If you do not see its contents the file may be temporarily unavailable at the journal website or you do not have a pdf plugin installed and enabled in your browser. The masses of black holes vary widely and can reach a million solar masses. Bosonic excitations of the ads4 reissnernordstrom black hole. The lecture notes will be updated as the course progresses.
The presence of the scalar hair gives rise to an effective. Black holes with 2r q r s can not exist in nature because if the charge is greater than the mass there can be no physical event horizon the term under the square root becomes negative. In this fourdimensional phase space, we perform a canonical transformation such that the resulting configuration variables describe the dynamical properties of reissner nordstr\om black holes in a natural manner. So far most of the calculations of ren and the rset were performed on the exterior part of bhs. We give a new derivation of the quasinormal frequencies of schwarzschild black holes in d greater than or equal to 4 and reissner nordstrom black holes in d 4, in the limit of infinite damping. Our emphasis is to derive, in the presence of electrostatic source, the necessary conditions which provide such static, spherically symmetric sss black holes available in fr gravity. Real black holes probably spin, but probably have almost no electric charge, because our universe appears to be electrically neutral, and a charged black hole would. Box 1735, beijing 80, china physics letters a received 1 june 1993. This result on stability can also be applied to the inflationary scenario. A reissner nordstrom black hole is a black hole with mass and electric charge, but no spin. Using this extension it is shown that the charged and nonrotating black hole.
Gq2 0 so there is a minimal mass mmin q2 g below this mass, we would have a naked. Nowadays, new black holes are detected on a daily basis. Geometry and thermodynamics of smeared reissnernordstrom. To this end, one equation is enough to determine the. In this paper we study the strong gravitational lensing scenario where the lens is a reissner nordstro. The kerrnewman black hole, which has charge and rotates. The geometry was discovered independently by reissner 1916 1 and nordstrom 1918 2. Pdf reissnernordstrom black hole lensing gustavo e. Horizons exist only if the black holes charge q is less than or equal to its mass m, in natural units. It is described by the electric field of a pointlike charged particle, and especially by the reissnernordstrom metric that generalizes the. Similar to the kerr black hole case, this hidden conformal symmetry is broken by the. Extended schwarzchild and reissner nordstrom desitter spacetimes 7. The extreme case where the charge equals the mass is called an extremal black hole.
Gup and higher dimensional reissnernordstrom black hole. Charged particles tunneling in a modified reissnernordstrom. In section economic reissner nordstrom rn 3d black hole we gave formulas and their approximations for black hole entropy and internal political stability in the roegenian economics, highlighting the situation in us and china. Real black holes probably spin, but probably have almost no electric charge, because our universe appears to be electrically neutral, and a charged black hole would quickly neutralize by attracting charge of the. If the charge of the black hole is less than its mass measured in geometric units \g c 1\, then the geometry contains two horizons, an outer horizon and an inner horizon.
Reissnernordstrom naked singularity, and also of the black hole inner static region, was. Preface these are lecture notes for the course on black holes in part iii of the cambridge mathematical tripos. Gq2 0 so there is a minimal mass mmin q2 g below this mass, we. Pdf the energy due to matter plus fields including gravity distribution of the reissnernordstrom antide sitter rn ads black holes is studied by. Equivalently, the space is not empty besides the black hole itself as there is a nontrivial electric field. Instability of extreme reissnernordstrom black holes imperial. Pdf analytic reissnernordstrom singularity researchgate. We find analytical expressions for the positions and. Motivated by recent progresses in the holographic descriptions of the kerr and reissnernordstrom rn black holes, we explore the hidden conformal symmetry of the nonextremal uplifted 5d rn black hole by studying the near horizon wave equation of a massless scalar field propagating in this background. Reissnernordstrom black hole is a black hole that carries electric charge, no angular momentum, and mass. The kerr black hole, which rotates and does not have charge inside.
Introduction shortly after the appearance of einsteins general relativistic. Picture of a black hole that forms from a collapsing shell of matter. Above we see a penrose diagram representing a coordinate extension 1 for a charged or rotating black hole. Hans jacob reissner, also known as jacob johannes reissner 18 january 1874, berlin 2 october 1967, mt.
It is now known that there is a supermassive black hole at the centre of our galaxy. Nov 29, 2014 it is observed that the charge e of reissnernordstrom black hole a. What is the electromagnetic 4vector potential in reissner. Reissnernordstrom black hole lensing internet archive. The wave equation on the extreme reissnernordstrom black. On the second order phase transition of a reissnernordstrom. Overview the schwarzschild black hole is the simplest black hole solution. The analogous solution for a charged, rotating body is given by the kerrnewman metric the metric was discovered between 1916 and 1921 by hans reissner. In this article, hawking demonstrated that classical black holes radiate a thermal. Hawking temperature of the reissnernordstromvaidya.
Thermodynamics of phase transition in higherdimensional. Weak field limit of reissnernordstrom black hole lensing core. Journey into and through a reissnernordstrom black hole on vimeo. Let us extract from the proof the expression for the metric. Pdf an analytic extension of the reissnernordstrom solution at and beyond. In particular, the reader should be conversant with manifold theory, tangent vectors, tensors, nforms, metrics and connections, the theory of geodesics, curvature, killing vectors and. The black hole is very similar to the standard reissnernordstrom black hole but with an additional scalar hair see refs. In the tunneling process, the metric fluctuation is taken into account, due to not only the energy conservation and electric charge conservation, but also the spacetime quantum effects. We obtain the basic equations and show that, as in the case of schwarzschild black hole, besides the primary and secondary images, two infinite sets of relativistic images are formed. Pdf reissnernordstrom black hole lensing diego torres. Browse other questions tagged generalrelativity blackholes differentialgeometry symmetry reissnernordstrommetric or ask your own question. Physics stack exchange is a question and answer site for active researchers, academics and students of physics. Compared with the schwarzschild black hole, the stable circular orbit around the reissnernordstrom black hole moves a liitle inwards, towards the horizon.
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