Black holes on the brane

Dadhich, Naresh; Maartens, Roy; Papadopoulos, Philippos; Rezania, Vahid

doi:10.1016/s0370-2693(00)00798-x

Cited by 541 publications

(922 citation statements)

References 15 publications

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“…In this spirit, black hole and wormhole solutions [6,9,16,17] as well as star solutions on the brane [18] have been obtained in the last years. We should mention that even without relaxing this condition, previous solutions have also been found [19,20]. In this context the hamiltonian constraint can be written explicitly in terms of A and B as [6,9] B A ′′ A − 1 2…”

Section: Brane Black Hole Solutionsmentioning

confidence: 95%

Stability and thermodynamics of brane black holes

et al. 2006

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Section: Brane Black Hole Solutionsmentioning

confidence: 95%

Stability and thermodynamics of brane black holes

et al. 2006

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“…This leads to an effective Einstein equation on the brane [6] which incorporates both local as well as non-local effects representing the high energy modifications of GR. At the very basic level the brane modification to the Newtonian potential goes as r −3 , which is symptomatic of the anti de-Sitter (AdS 5 ) bulk.A solution of the effective vacuum equation on the brane for a static black hole was obtained [5], and it turned out to be the RN metric of a charged black hole in GR. Here charge refers not to electric charge but instead to the Weyl tidal charge as a measure of the reflected gravitational field energy from the bulk.…”

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confidence: 99%

“…We have therefore taken for exterior the radiating generalization of the static black hole solution on the brane as given in [4]. This is at one end matched to the Friedmann solution for interior of the collapsing sphere and at the other to the WRN static metric for the black hole on the brane [5]. The matching conditions relate the mass functions at the two boundary surfaces, and the new brane effects are negotiated by the Weyl radiation and the density square contributions.…”

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“…It is expected to be negative [5,6,11]. It turns out that the brane modifications to GR would strengthen gravity (i.e.…”

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“…For this bulk must have non-zero Weyl curvature. Also note that in the Vaidya generalization of WRN, not only the mass M but the tidal charge Q also becomes function of retarded null coordinate v. This happens because Q is essentially caused by M (through the reflected field energy from the bulk) and hence it would be related to it [5,6,11].…”

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Collapsing sphere on the brane radiates

Govender

Dadhich

2002

Physics Letters B

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We study the analogue of the Oppenheimer-Snyder model of a collapsing sphere of homogeneous dust on the Randall-Sundrum type brane. We show that the collapsing sphere has the Vaidya radiation envelope which is followed by the brane analogue of the Schwarzschild solution described by the Reissner-Nordström metric. The collapsing solution is matched to the brane generalized Vaidya solution and which in turn is matched to the Reissner-Nordström metric. The mediation by the Vaidya radiation zone is the new feature introduced by the brane. Since the radiating mediation is essential, we are led to the remarkable conclusion that a collapsing sphere on the brane does indeed, in contrast to general relativity, radiate null radiation.PACS numbers: 04.50.+h; 04.70.Bw; 98.80.Cq; 11.25.Mj The seat of high energy modifications to general relativity (GR) would be the neighbourhoods of singularities occurring in gravitational collapse and the cosmological big-bang explosion. The study of situations leading to such singular events would therefore be most pertinent in the models that claim to incorporate such modifications. The Randall-Sundrum (RS) brane world model [1] is one such model which has currently attracted great attention and activity. In this paper, we wish to study gravitational collapse of a homogeneous dust sphere on the RS type brane. In GR, it is described by the wellknown Oppenheimer-Snyder (OS) model [2] in which the interior of collapsing sphere is given by the Friedmann metric while the exterior is the static Schwarzschild solution. The two are matched continuously on the moving boundary. This reflects the well-known classical result that a collapsing sphere does not radiate. In contrast it turns out that a collapsing dust sphere on the brane would require in general a non static exterior [3], and that could be the Vaidya radiating solution on the brane [4]. That is, a collapsing sphere must have a radiation envelope described by the brane analogue of the Vaidya radiating solution [4], which could finally be matched to the brane analogue of the Schwarzschild solution described by the Reissner-Nordström (RN) metric [5]. We shall thus establish that the analogue of the OppenheimerSnyder collapse on the brane is a Vaidya radiating sphere.String theory and M-theory represent one of the routes to find a covering theory for GR, which would possibly be a theory of quantum gravity. In this approach, gravitation becomes a higher dimensional interaction with the 4-D conventional GR as its low energy limit. In the brane * Electronic address: megang@dit.ac.za † Electronic address: nkd@iucaa.ernet.in world scenario, the matter fields remain confined to the 3-brane, which is our 4-D Universe we live in, while gravity can propagate in higher dimensional spacetime called the bulk. In the RS brane model, gravity is localized on the brane by the curvature of the bulk spacetime which is an Einstein space with negative Λ. What essentially happens is that gravitational field gets "reflected" back onto the brane through the Wey...

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Black hole tidal charge constrained by strong gravitational lensing

Horváth

Gergely

2013

Astron Nachr

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Spherically symmetric brane black holes have tidal charge, which modifies both weak and strong lensing characteristics. Even if lensing measurements are in agreement with a Schwarzschild lens, the margin of error of the detecting instrument allows for a certain tidal charge. In this paper we derive the respective constraint on the tidal charge of the supermassive black hole (SMBH) in the center of our galaxy, from the radius of the first relativistic Einstein ring, emerging in strong lensing. We find that even if general relativistic predictions are confirmed by high precision strong lensing measurements, SMBHs could have a much larger tidal charge, than the Sun or neutron stars

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Black holes on the brane

Cited by 541 publications

References 15 publications

Stability and thermodynamics of brane black holes

Stability and thermodynamics of brane black holes

Collapsing sphere on the brane radiates

Black hole tidal charge constrained by strong gravitational lensing

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