Lovelock black holes with maximally symmetric horizons

Maeda, Hideki; Willison, Steven; Ray, Sourya

doi:10.1088/0264-9381/28/16/165005

Cited by 59 publications

(108 citation statements)

References 91 publications

Supporting

Mentioning

104

Contrasting

Order By: Relevance

“…(3.8), only the time-time component of the gravitational equations is required. More general definition of the Misner-Sharp energy in Lovelock gravity theory can be found in references [24] and [25]. An explicit form of this energy in Vaidya spacetime has been studied in [26].…”

Section: A Static Perfect Fluid In Lovelock Gravitymentioning

confidence: 99%

Maximum entropy principle for self-gravitating perfect fluid in Lovelock gravity

Cao

Zeng

2013

Phys. Rev. D

View full text Add to dashboard Cite

We consider a static self-gravitating system consisting of perfect fluid with isometries of an (n − 2)-dimensional maximally symmetric space in Lovelock gravity theory. A straightforward analysis of the time-time component of the equations of motion suggests a generalized mass function. Tolman-Oppenheimer-Volkoff like equation is obtained by using this mass function and gravitational equations. We investigate the maximum entropy principle in Lovelock gravity, and find that this Tolman-Oppenheimer-Volkoff equation can also be deduced from the so called "maximum entropy principle" which is originally customized for Einstein gravity theory. This investigation manifests a deep connection between gravity and thermodynamics in this generalized gravity theory.

show abstract

Section: A Static Perfect Fluid In Lovelock Gravitymentioning

confidence: 99%

Maximum entropy principle for self-gravitating perfect fluid in Lovelock gravity

Cao

Zeng

2013

Phys. Rev. D

View full text Add to dashboard Cite

show abstract

“…If the theory admits simply degenerate vacua, the following is also a vacuum solution: [19]. If one removes the assumption of C 2 -differentiability of the spacetime, then more vacuum solutions exist [35,36].…”

Section: Vacuum Solutionsmentioning

confidence: 99%

“…In this coordinate system, the central curvature singularity and the black-hole event horizon are represented by τ =ρ andρ 19) respectively. In the Lemaître coordinates, the radial coordinateρ does not coincide with R in the asymptotically flat region.…”

Section: (413)mentioning

confidence: 99%

“…All of the P Λ dependence in the Hamiltonian is in the terms of N r /N. Therefore we can write 19) from which the consistency condition is given as…”

Section: Massless Scalar Fieldmentioning

confidence: 99%

“…The corresponding Schwarzschild-Tangherlini-type vacuum solution was obtained by Zegers [18]. In addition, a natural counterpart to the MisnerSharp mass has been defined in Lovelock gravity [19,20].…”

Section: Introductionmentioning

confidence: 97%

See 2 more Smart Citations

Hamiltonian dynamics of Lovelock black holes with spherical symmetry

Kunstatter¹,

Maeda²,

Taves³

2013

Class. Quantum Grav.

Self Cite

View full text Add to dashboard Cite

We consider spherically symmetric black holes in generic Lovelock gravity. Using geometrodynamical variables we do a complete Hamiltonian analysis, including derivation of the super-Hamiltonian and super-momentum constraints and verification of suitable boundary conditions for asymptotically flat black holes. Our analysis leads to a remarkably simple fully reduced Hamiltonian for the vacuum gravitational sector that provides the starting point for the quantization of Lovelock block holes. Finally, we derive the completely reduced equations of motion for the collapse of a spherically symmetric, charged selfgravitating complex scalar field in generalized flat slice (Painlevé-Gullstrand) coordinates.

show abstract

Universality of P − V criticality in horizon thermodynamics

Hansen

Kubizňák

Mann

2017

J. High Energ. Phys.

View full text Add to dashboard Cite

We study P −V criticality of black holes in Lovelock gravities in the context of horizon thermodynamics. The corresponding first law of horizon thermodynamics emerges as one of the Einstein-Lovelock equations and assumes the universal (independent of matter content) form δE = T δS − P δV , where P is identified with the total pressure of all matter in the spacetime (including a cosmological constant Λ if present). We compare this approach to recent advances in extended phase space thermodynamics of asymptotically AdS black holes where the 'standard' first law of black hole thermodynamics is extended to include a pressure-volume term, where the pressure is entirely due to the (variable) cosmological constant. We show that both approaches are quite different in interpretation. Provided there is sufficient non-linearity in the gravitational sector, we find that horizon thermodynamics admits the same interesting black hole phase behaviour seen in the extended case, such as a Hawking-Page transition, Van der Waals like behaviour, and the presence of a triple point. We also formulate the Smarr formula in horizon thermodynamics and discuss the interpretation of the quantity E appearing in the horizon first law.

show abstract

Lovelock black holes with maximally symmetric horizons

Cited by 59 publications

References 91 publications

Maximum entropy principle for self-gravitating perfect fluid in Lovelock gravity

Maximum entropy principle for self-gravitating perfect fluid in Lovelock gravity

Hamiltonian dynamics of Lovelock black holes with spherical symmetry

Universality of P − V criticality in horizon thermodynamics

Contact Info

Product

Resources

About