Pure Lovelock black holes in dimensions 
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 are stable

Gannouji, Radouane; Baez, Yolbeiker Rodríguez; Dadhich, Naresh

doi:10.1103/physrevd.100.084011

Cited by 20 publications

(10 citation statements)

References 33 publications

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“…5). It may also be noted that non-rotating black hole [17] is stable [20] only in dimensions D ≥ 3N + 1; i.e., for pure GB in D = 7, 8. Thus, for pure GB rotating black holes would have bound orbits and SCOs around them.…”

Section: Discussionmentioning

confidence: 99%

How do rotating black holes form in higher dimensions?

Dadhich

Shaymatov

2022

Arab. J. Math.

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Black holes are generally formed by gravitational collapse and accretion process. The necessary condition for the process to work is that overall force on collapsing/accreting matter element must be attractive. This is not so for the Myers–Perry metric describing a rotating black hole in higher dimensions. Also for accretion process to work, there should form accretion disk which requires existence of innermost stable circular orbit (ISCO). There can occur no bound orbits and consequently ISCOs in higher dimensions around a stationary black hole. Both these hurdles are overcome in pure Lovelock gravity. Rotating black holes in higher dimensions could thus form by collapse/accretion only in pure Lovelock gravity.

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Section: Discussionmentioning

confidence: 99%

How do rotating black holes form in higher dimensions?

Dadhich

Shaymatov

2022

Arab. J. Math.

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“…This still kept a room for the question, what happens for other higher curvature terms in the Lanczos-Lovelock Lagrangian? In this section, we wish to study the effect of other higher curvature terms in the Lanczos-Lovelock Lagrangian on the violation of strong cosmic censorship conjecture and for this purpose we wish to consider the case of pure Lovelock gravity [41,42], which refers to a single term in the full Lovelock polynomial. More precisely, k th order pure Lovelock term corresponds to the Lagrangian L = √ −gL k , without the sum.…”

Section: Strong Cosmic Censorship Conjecture In Pure Lovelock Gravitymentioning

confidence: 99%

“…Thus one can ask whether the solution can be extended beyond the Cauchy horizon. Our second example involves the study of pure lovelock black hole solutions [41][42][43][44][45][46] in dimensions d ≥ (3k + 1), with 'k' being the lovelock order, i.e., k = 1 is the pure Einstein Gravity, while k = 2 is pure Gauss-Bonnet Gravity and so on. We would like to emphasize that, although the pure lovelock solutions may not represent a physical black hole, it does provide a natural platform to study the effect of higher curvature terms to the strong cosmic censorship conjecture, which is the ultimate aim of our work.…”

Section: Introductionmentioning

confidence: 99%

Strong cosmic censorship conjecture in higher curvature gravity

Mishra

Chakraborty

2020

Phys. Rev. D

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Deterministic nature of general relativity is ensured by the strong cosmic censorship conjecture, which asserts that spacetime cannot be extended beyond Cauchy horizon with square integrable connection. Although this conjecture holds true for asymptotically flat black hole spacetimes in general relativity, a potential violation of this conjecture occurs in charged asymptotically de Sitter spacetimes. Since it is expected that Einstein-Hilbert action will involve higher curvature corrections, in this article we have studied whether one can restore faith in the strong cosmic censorship when higher curvature corrections to general relativity are considered. Contrary to our expectations, we have explicitly demonstrated that not only a violation to the conjecture occurs near extremality, but the violation appears to become stronger as the strength of the higher curvature term increases. * akash.mishra@iitgn.ac.in

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“…pure Gauss-Bonnet action will have only the quadratic term with no Einstein term. Pure Lovelock gravity is characterized by some interesting and distinguishing properties: (a) in the critical odd D = 2N + 1, it is kinematic [22,23], in the sense that N th order Lovelock Riemann is entirely given in terms of the corresponding Ricci, (b) existence of bound orbits around a static object in higher dimensions [24] and (c) stability of static black hole [25], etc. For an insightful overview can be found in Ref.…”

Section: Introductionmentioning

confidence: 99%

Pure Gauss-Bonnet NUT Black Hole Solution: I

Mukherjee,

Dadhich

2021

Preprint

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We find a new exact Λ-vacuum solution in pure Gauss-Bonnet gravity with NUT charge in six dimension with horizon having product topology S (2) ×S (2) . We also discuss its horizon and singularity structure, and consequently arrive at a parameter window for its physical viability. It should be noted that all NUT black hole solutions in higher dimensions have product, instead of spherical, topology. We prove, in general, that it is because of the radial symmetry of the NUT spacetime; i.e. in higher dimensions NUT spacetime cannot maintain radial symmetry unless horizon has S (2) or its product topology. On the way we also prove a general result for spherical symmetry that when null energy condition is satisfied, one has then only to solve a first order equation to get a vacuum or Λ-vacuum solution.

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Pure Lovelock black holes in dimensions d=3N+1 are stable

Cited by 20 publications

References 33 publications

How do rotating black holes form in higher dimensions?

How do rotating black holes form in higher dimensions?

Strong cosmic censorship conjecture in higher curvature gravity

Pure Gauss-Bonnet NUT Black Hole Solution: I

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