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Classifying the zero-temperature ground states of quantum field theories with finite charge density is a very interesting problem. Via holography, this problem is mapped to the classification of extremal charged black brane geometries with…

High Energy Physics - Theory · Physics 2015-06-12 Norihiro Iizuka , Shamit Kachru , Nilay Kundu , Prithvi Narayan , Nilanjan Sircar , Sandip P. Trivedi , Huajia Wang

We prove that non-extremal black holes in four-dimensional general relativity exhibit an infinite-dimensional symmetry in their near horizon region. By prescribing a physically sensible set of boundary conditions at the horizon, we derive…

High Energy Physics - Theory · Physics 2019-01-25 Laura Donnay , Gaston Giribet , Hernán A. González , Miguel Pino

By utilizing non-standard slicings of 5-dimensional Schwarzschild and Schwarzschild-AdS manifolds based on isotropic coordinates, we generate static and spherically symmetric braneworld spacetimes containing shell-like naked null…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Sanjeev S. Seahra

In the extremal Kerr spacetime the horizon Killing vector field is null on a timelike hypersurface crossing the horizon at a fixed latitude, and spacelike on both sides of the horizon in the equatorial plane. We explain in some detail how…

General Relativity and Quantum Cosmology · Physics 2013-03-20 Jan E. Aman , Ingemar Bengtsson , Helgi F. Runarsson

We consider the near-horizon geometry of supersymmetric extremal black holes in un-gauaged and gauged 5-dimensional supergravity, coupled to abelian vector multiplets. By analyzing the global properties of the Killing spinors, we prove that…

High Energy Physics - Theory · Physics 2018-05-10 U. Kayani

We introduce the concept of a geometric horizon, which is a surface distinguished by the vanishing of certain curvature invariants which characterize its special algebraic character. We motivate its use for the detection of the event…

General Relativity and Quantum Cosmology · Physics 2018-01-10 Alan Coley , David McNutt

We provide a construction of a new class of axisymmetric extremal isolated horizons admitting a structure of U(1)-principal fiber bundle over a two-sphere. In contrast to the previous examples, the null generators are assumed to be…

General Relativity and Quantum Cosmology · Physics 2025-11-19 Eryk Buk , Denis Dobkowski-Ryłko , Jerzy Lewandowski , Maciej Ossowski

We characterize a general solution to the vacuum Einstein equations which admits isolated horizons. We show it is a non-linear superposition -- in precise sense -- of the Schwarzschild metric with a certain free data set propagating…

General Relativity and Quantum Cosmology · Physics 2010-04-06 Jerzy Lewandowski

We consider supersymmetric near-horizon geometries in heterotic supergravity up to two loop order in sigma model perturbation theory. We identify the conditions for the horizons to admit enhancement of supersymmetry. We show that solutions…

High Energy Physics - Theory · Physics 2019-12-20 A. Fontanella , J. B. Gutowski , G. Papadopoulos

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

We reconsider spherically symmetric black hole solutions in Einstein-Aether theory with the condition that this theory has identical PPN parameters as those for general relativity, which is the main difference from the previous research. In…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Takashi Tamaki , Umpei Miyamoto

Colliding Einstein-Maxwell-Scalar fields need not necessarily doomed to become in a spacelike singularity. Examples are given in which null singularities emerge as intermediate stages between a spacelike singularity and a regular horizon.

General Relativity and Quantum Cosmology · Physics 2007-05-23 Ozay Gurtug , Mustafa Halilsoy

We describe in detail the solution of type IIB superstring theory in the maximally supersymmetric plane-wave background with constant null Ramond-Ramond 5-form field strength. The corresponding light-cone Green-Schwarz action found in…

High Energy Physics - Theory · Physics 2009-09-17 R. R. Metsaev , A. A. Tseytlin

This paper investigates the global dynamics of the apparent horizon. We present an approach to establish its existence and its long-term behaviors. Our apparent horizon is constructed by solving the marginally outer trapped surface (MOTS)…

General Relativity and Quantum Cosmology · Physics 2025-05-20 Xinliang An , Taoran He

We prove that any smooth vacuum spacetime containing a compact Cauchy horizon with surface gravity that can be normalised to a non-zero constant admits a Killing vector field. This proves a conjecture by Moncrief and Isenberg from 1983…

Differential Geometry · Mathematics 2023-12-12 Oliver Petersen , István Rácz

In this chapter, we study special photon orbits defined by means of Killing vectors and present a framework based on the properties of such null orbits. For concreteness, we restrict ourselves to the case of axially symmetric spacetimes…

General Relativity and Quantum Cosmology · Physics 2024-02-13 Daniela Pugliese , Hernando Quevedo

We use the general solution to the trace of the 4-dimensional Einstein equations for static, spherically symmetric configurations as a basis for finding a general class of black hole (BH) metrics, containing one arbitrary function $g_{tt} =…

General Relativity and Quantum Cosmology · Physics 2011-08-03 K. A. Bronnikov , H. Dehnen , V. N. Melnikov

Hawking's local rigidity theorem, proven in the smooth setting by Alexakis-Ionescu-Klainerman, says that the event horizon of any stationary non-extremal black hole is a non-degenerate Killing horizon. In this paper, we prove that the full…

Differential Geometry · Mathematics 2024-09-20 Klaus Kroencke , Oliver Petersen

We consider 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. The black hole event horizon or,…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Helmut Friedrich , Istvan Racz , Robert M. Wald

We show that, for general static or axisymmetric stationary spacetimes, a cosmological Killing horizon exists only if $R_{ab}n^{a}n^{b}< 0$ for a hypersurface orthogonal timelike $n^{a}$, at least over some portion of the region of interest…

General Relativity and Quantum Cosmology · Physics 2010-11-17 Sourav Bhattacharya , Amitabha Lahiri