Black holes on the brane

By N. Dadhich, R. Maartens, P. Papadopoulos, Vahid Rezania. 2000

463 citations recorded by the source corpus.

Abstract We consider exact solutions for static black holes localized on a three-brane in five-dimensional gravity in the Randall-Sundrum scenario. We show that the Reissner-Nordstrom metric is an exact solution of the effective Einstein equations on the brane, re-interpreted as a black hole without electric charge, but with instead a tidal `charge' arising via gravitational effects from the fifth dimension. The tidal correction to the Schwarzschild potential is negative, which is impossible in general relativity, and in this case only one horizon is admitted, located outside the Schwarzschild horizon. The solution satisfies a closed system of equations on the brane, and describes the strong-gravity regime. Current observations do not strongly constrain the tidal charge, and significant tidal corrections could in principle arise in the strong-gravity regime and for primordial black holes.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/378e2acf1406a46afd8928375e2c1d02a25451d9

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Citations in the corpus

Orbital resonances in discs around braneworld Kerr black holes (2008, background): “ to th e 5D gravitational coupling between the brane and the bulk, reﬂected on the brane through the “electric” part o f the bulk Weyl tensor [8], in close analogy with the spherically symmetric case [23]. When both the tidal and electric charge are present in a brany black hole, its character is mu”
Silhouette of M87*: A new window to peek into the world of hidden dimensions (2019, background): “tion. It turns out that BH solutions associated with such eective gravitational eld equations resemble the KerrNewmann metric [28{33] where the tidal charge can be negative unlike general relativity [29,30,34,35]. Implications of such higher dimensional gravity theories have already been discussed i”
Brane-World Gravity (2004, background): “, H = F in Equation (149), then the general solution of the brane field equations is [105] F = 1− 2GM r + 2GlQ r2 , (159) Eμν = − 2GlQ r4 [uμuν − 2rμrν + hμν ] , (160)”