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An elementary introduction is given to the problem of black hole entropy as formulated by Bekenstein and Hawking, based on the so-called Laws of Black Hole Mechanics. Wheeler's `It from Bit' picture is presented as an explanation of…

高能物理 - 理论 · 物理学 2007-05-23 Parthasarathi Majumdar

We consider the extremal limit of a black hole geometry of the Reissner-Nordstrom type and compute the quantum corrections to its entropy. Universally, the limiting geometry is the direct product of two 2-dimensional spaces and is…

高能物理 - 理论 · 物理学 2016-09-06 Robert B. Mann , Sergey N. Solodukhin

We make use of the fact that the optical geometry near a static non-degenerate Killing horizon is asymptotically hyperbolic to investigate universal features of black hole physics. We show how the Gauss-Bonnet theorem allows certain lensing…

广义相对论与量子宇宙学 · 物理学 2009-11-13 G. W. Gibbons , C. M. Warnick

Killing horizons which can be such for two or more linearly independent Killing vectors are studied. We provide a rigorous definition and then show that the set of Killing vectors sharing a Killing horizon is a Lie algebra…

广义相对论与量子宇宙学 · 物理学 2018-07-25 Marc Mars , Tim-Torben Paetz , José M. M. Senovilla

A derivation of Noether current from the surface term of Einstein-Hilbert action is given. We show that the corresponding charge, calculated on the horizon, is related to the Bekenstein-Hawking entropy. Also using the charge, the same…

广义相对论与量子宇宙学 · 物理学 2013-07-24 Bibhas Ranjan Majhi

Black hole thermodynamics in Lorentz-violating gravity is subtle because different excitations propagate at different speeds and hence identify different causal horizons. We revisit Einstein--AEther gravity using the covariant phase space…

广义相对论与量子宇宙学 · 物理学 2026-04-01 Walter Arata , Stefano Liberati , Giulio Neri

Three-dimensional Einstein gravity with negative cosmological constant admits stationary black holes that are not necessarily spherically symmetric. We propose boundary conditions for the near horizon region of these black holes that lead…

高能物理 - 理论 · 物理学 2016-05-25 Hamid Afshar , Stephane Detournay , Daniel Grumiller , Wout Merbis , Alfredo Perez , David Tempo , Ricardo Troncoso

We prove an intrinsic analogue of Hawking's rigidity theorem for extremal horizons in arbitrary dimensions: any compact cross-section of a rotating extremal horizon in a spacetime satisfying the null energy condition must admit a Killing…

广义相对论与量子宇宙学 · 物理学 2025-12-12 Alex Colling

Aspects of holography or dimensional reduction in gravitational physics are discussed with reference to black hole thermodynamics. Degrees of freedom living on Isolated Horizons (as a model for macroscopic, generic, eternal black hole…

广义相对论与量子宇宙学 · 物理学 2008-02-12 Parthasarathi Majumdar

We discuss the holography and entropy bounds in Gauss-Bonnet gravity theory. By applying a Geroch process to an arbitrary spherically symmetric black hole, we show that the Bekenstein entropy bound always keeps its form as $S_{\rm B}=2\pi E…

高能物理 - 理论 · 物理学 2009-11-07 Rong-Gen Cai , Yun Soo Myung

We compute the memory effect produced at the black hole horizon by a transient gravitational shockwave. As shown by Hawking, Perry, and Strominger (HPS) such a gravitational wave produces a deformation of the black hole geometry which from…

高能物理 - 理论 · 物理学 2018-12-19 Laura Donnay , Gaston Giribet , Hernan A. Gonzalez , Andrea Puhm

Equilibrium states of black holes can be modelled by isolated horizons. If the intrinsic geometry is spherical, they are called type I while if it is axi-symmetric, they are called type II. The detailed theory of geometry of quantum type I…

广义相对论与量子宇宙学 · 物理学 2009-11-11 Jonathan Engle

Dilaton-axion gravity with $p U(1)$ vector fields is studied on space-times admitting a timelike Killing vector field. Three-dimensional sigma-model is derived in terms of K\"ahler geometry, and holomorphic representation of the SO(2,2+p)…

广义相对论与量子宇宙学 · 物理学 2014-11-17 D. V. Gal'tsov , P. S. Letelier

Is Cosmic Censorship special to General Relativity, or can it survive a violation of equivalence principle? Recent studies have shown that singularities in Lorentz violating Einstein-Aether (or Horava-Lifhsitz) theories can lie behind a…

广义相对论与量子宇宙学 · 物理学 2016-05-11 Michael Meiers , Mehdi Saravani , Niayesh Afshordi

Many recent attempts to calculate black hole entropy from first principles rely on conformal field theory techniques. By examining the logarithmic corrections to the Cardy formula, I compute the first-order quantum correction to the…

广义相对论与量子宇宙学 · 物理学 2010-04-28 S. Carlip

We provide arguments indicating that the semiclassical Einstein equations follow from quantum relative entropy and its proportionality to an area variation. Using modular theory, we establish that the relative entropy between the vacuum…

高能物理 - 理论 · 物理学 2026-03-04 Philipp Dorau , Albert Much

The w_\infty algebra is a particular generalization of the Virasoro algebra with generators of higher spin 2,3,...,\infty. It can be viewed as the algebra of a class of functions, relative to a Poisson bracket, on a suitably chosen surface.…

高能物理 - 理论 · 物理学 2007-05-23 E. Sezgin

Null surfaces act as one-way membranes, blocking information from those observers who do not cross them (e.g., in the black hole and the Rindler spacetimes) and these observers associate an entropy (and temperature) with the null surface.…

广义相对论与量子宇宙学 · 物理学 2016-11-11 Sumanta Chakraborty , Sourav Bhattacharya , T. Padmanabhan

In this paper, we study the existence of universal horizons in a given static spacetime, and find that the test khronon field can be solved explicitly when its velocity becomes infinitely large, at which point the universal horizon…

广义相对论与量子宇宙学 · 物理学 2015-03-05 Kai Lin , O. Goldoni , M. F. da Silva , Anzhong Wang

Universal horizons in Ho\v{r}ava-Lifshitz gravity and Einstein-{\ae}ther theory are the equivalent of causal horizons in general relativity and appear to have many of the same properties, including a first law of horizon thermodynamics and…

高能物理 - 理论 · 物理学 2015-06-22 Jishnu Bhattacharyya , David Mattingly