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Related papers: Killing Horizons as Equipotential Hypersurfaces

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This article reviews the properties and limitations associated with the existence of particle, visual, and event horizons in cosmology in general and in inflationary universes in particular, carefully distinguishing them from `Hubble…

General Relativity and Quantum Cosmology · Physics 2016-12-06 George Ellis , Jean-Philippe Uzan

We discuss different kinds of Killing horizons possible in static, spherically symmetric configurations and recently classified as "usual", "naked" and "truly naked" ones depending on the near-horizon behavior of transverse tidal forces…

General Relativity and Quantum Cosmology · Physics 2009-02-23 K. A. Bronnikov , E. Elizalde , S. D. Odintsov , O. B. Zaslavskii

A rigidity theorem that applies to smooth electrovac spacetimes which represent either (A) an asymptotically flat stationary black hole or (B) a cosmological spacetime with a compact Cauchy horizon ruled by closed null geodesics was given…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Istvan Racz

Event Horizon, a null hypersurface defining the boundary of the black hole region of a spacetime, is not particularly useful for evolving black holes since it is non-local in time. Instead, one uses the more tangible concept of Apparent…

General Relativity and Quantum Cosmology · Physics 2022-02-23 Emel Altas , Bayram Tekin

We construct a deformed algebraic quantum field theory on bifurcate Killing horizons in stationary axisymmetric spacetimes. The deformation is generated by the commuting actions of affine dilations along the null generators of the horizon…

High Energy Physics - Theory · Physics 2026-03-16 Philipp Dorau , Albert Much , Rainer Verch

Non-extremal black holes are endowed with geometric invariants related to their horizon areas. We extend earlier work on hot attractor black holes to higher dimensions and add a scalar potential. In addition to the event and Cauchy…

High Energy Physics - Theory · Physics 2019-05-01 Kevin Goldstein , Vishnu Jejjala , James Junior Mashiyane , Suresh Nampuri

We identify, in spacetimes satisfying the null convergence condition, a certain natural class of null hypersurfaces that admit null sections with constant surface gravity. Our work is meant to offer complementary results to previous work on…

General Relativity and Quantum Cosmology · Physics 2023-08-22 Ivan P. Costa e Silva , José L. Flores , Benjamín Olea

A key consequence of Lorentz-violating gravity is the emergence of modified dispersion relations implying the absence of a universal maximum propagation speed. This challenges the conventional notion of the event horizon as a causal…

General Relativity and Quantum Cosmology · Physics 2025-09-30 Francesco Del Porro , Stefano Liberati , Jacopo Mazza

In this paper we present alternative proofs for two known rigidity results concerning non-negatively curved compact biconservative hypersurfaces in space forms. Further, we prove some new rigidity results by replacing the hypothesis of…

Differential Geometry · Mathematics 2024-09-30 Ştefan Andronic , Aykut Kayhan

We investigate the mechanics of stationary axisymmetric non-Killing horizons, which emerge in spacetimes that do not enjoy the symmetry known as circularity -- as is commonly the case for rotating black holes beyond general relativity.…

General Relativity and Quantum Cosmology · Physics 2025-11-06 Francesco Del Porro , Jacopo Mazza

Gravitational effective action is calculated to second order in transverse momentums for a planar asymptotically anti-de Sitter geometry by gauge fixing method. The first order bulk energy-momentum tensor is calculated. The zeroth order…

High Energy Physics - Theory · Physics 2016-07-06 Davood Allahbakhshi

We prove the constancy of surface gravity across a Killing horizon (not necessarily of bifurcate type) in arbitrary higher curvature theories of gravity coupled to Proca fields $-$ vector fields lacking $U(1)$ gauge invariance $-$ thus…

High Energy Physics - Theory · Physics 2025-09-12 Parthajit Biswas , Alokananda Kar , Anowar Shaikh

We study Killing horizons and their neighbourhoods in the Kerr-NUT-(anti-)de Sitter and the accelerated Kerr-NUT-(anti-)de Sitter spacetimes. The geometries of the horizons have an irremovable singularity at one of the poles, unless the…

General Relativity and Quantum Cosmology · Physics 2020-10-28 Jerzy Lewandowski , Maciej Ossowski

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…

General Relativity and Quantum Cosmology · Physics 2015-03-05 Kai Lin , O. Goldoni , M. F. da Silva , Anzhong Wang

We study the zeroth law for Killing horizons in Lanczos-Lovelock gravity. We show that the surface gravity of a general Killing horizon in Lanczos-Lovelock gravity (except for general relativity) may not be constant even when the matter…

General Relativity and Quantum Cosmology · Physics 2013-04-15 Sudipta Sarkar , Swastik Bhattacharya

We present an asymptotically flat and stationary multi-black lens solution with bi-axisymmetry of $U(1)\times U(1)$ as a supersymmetric solution in the five-dimensional minimal ungauged supergravity. We show that the spatial cross section…

High Energy Physics - Theory · Physics 2017-03-22 Shinya Tomizawa , Taika Okuda

In this paper, we analyze the causal structure of Generalized Quadratic Gravity (GQG) and Einsteinian Cubic Gravity (ECG). It is well known that gravitons in higher-curvature theories can exhibit superluminal propagation, rendering the…

High Energy Physics - Theory · Physics 2025-07-14 Mohd Ali , Vardarajan Suneeta

We use two ingredients to prove the hyperbolicity of generic hypersurfaces of sufficiently high degree and of their complements in the complex projective space. One is the pullbacks of appropriate low pole order meromorphic jet…

Complex Variables · Mathematics 2015-02-23 Yum-Tong Siu

Frequently it is argued that the microstates responsible for the Bekenstein-Hawking entropy should arise from some physical degrees of freedom located near or on the black hole horizon. In this Essay we elucidate that instead entropy may…

General Relativity and Quantum Cosmology · Physics 2008-11-26 L. Bergamin , D. Grumiller

We investigate photon surfaces and their stability in a less symmetric spacetime, a general static warped product with a warping function acting on a Riemannian submanifold of codimension two. We find a one-dimensional pseudopotential that…

General Relativity and Quantum Cosmology · Physics 2021-02-10 Yasutaka Koga , Takahisa Igata , Keisuke Nakashi
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