Overspinning a Kerr black hole: The effect of the self-force

In this paper, we compute the corrections to the Cardy–Verlinde formula of four-dimensional Kerr black hole. These corrections are considered within the context of KKW analysis and arise as a result of the self-gravitational effect. Then we show that one can take into account the semiclassical corrections of the Cardy–Verlinde entropy formula by only redefining the Virasoro operator L0 and the central charge c.

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Orbital evolution of a test particle around a black hole: indirect determination of the self-force in the post-Newtonian approximation

Classical and Quantum Gravity ◽

10.1088/0264-9381/23/12/021 ◽

2006 ◽

Vol 23 (12) ◽

pp. 4281-4288 ◽

Cited By ~ 3

Author(s):

Lior M Burko

Keyword(s):

Black Hole ◽

Test Particle ◽

Orbital Evolution ◽

The Self ◽

Indirect Determination ◽

Newtonian Approximation ◽

Self Force

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New gravitational self-force analytical results for eccentric equatorial orbits around a Kerr black hole: Redshift invariant

Physical Review D ◽

10.1103/physrevd.100.104002 ◽

2019 ◽

Vol 100 (10) ◽

Cited By ~ 6

Author(s):

Donato Bini ◽

Andrea Geralico

Keyword(s):

Black Hole ◽

Kerr Black Hole ◽

Analytical Results ◽

Self Force

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A self-force approach to the two-body problem: The Green function method

International Journal of Modern Physics D ◽

10.1142/s0218271816410157 ◽

2016 ◽

Vol 25 (09) ◽

pp. 1641015

Author(s):

Marc Casals

Keyword(s):

Black Hole ◽

Green Function ◽

The Self ◽

Massive Black Hole ◽

Green Function Method ◽

Two Body Problem ◽

Black Hole Spacetime ◽

Novel Method ◽

The Green Function ◽

Self Force

The inspiral of a stellar-mass astrophysical object into a massive black hole may be modeled within perturbation theory of General Relativity via the so-called self-force. In this paper, we present a novel method for the calculation of the self-force which is based on the Green function (GF) of the wave equation satisfied by the field created by the smaller object. We review the results in [M. Casals, S. Dolan, A. C. Ottewill and B. Wardell, Phys. Rev. D 88 (2013) 044022; B. Wardell, C. R. Galley, A. Zenginoğlu, M. Casals, S. R. Dolan and A. C. Ottewill, Phys. Rev. D 89 (2014) 084021] on the GF and the self-force on a scalar charge (as a model for the gravitational case) moving on a Schwarzschild black hole spacetime. This GF method offers an appealing geometrical insight into the origin of the self-force and is a promising candidate for practical self-force calculations.

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