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For asymptotically flat initial data of Einstein's equations satisfying an energy condition, we show that the Penrose inequality holds between the ADM mass and the area of an outermost apparent horizon, if the data are restricted suitably.…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Edward Malec , Marc Mars , Walter Simon

This paper proves a theorem about the existence of an apparent horizon in general relativity, which applies equally well to vacuum configurations and matter configurations. The theorem uses the reciprocal of the surface-to-volume ratio of a…

General Relativity and Quantum Cosmology · Physics 2009-10-22 Douglas M. Eardley

This white paper is submitted as part of Snowmass2013 (subgroup CF2). The extraordinary sensitivity of torsion-balances can be used to search for the ultra-feeble forces suggested by attempts to unify gravity with the other fundamental…

High Energy Physics - Experiment · Physics 2013-08-15 E. G. Adelberger

In the present paper we investigate the general problem of uniqueness of the stationary black solutions in 5D Einstein-Maxwell-dilaton gravity with arbitrary dilaton coupling parameter containing the Einstein-Maxwell gravity as a particular…

High Energy Physics - Theory · Physics 2015-05-27 Stoytcho S. Yazadjiev

Astrophysical black hole candidates, although long thought to have a horizon, could be horizonless ultra-compact objects. This intriguing possibility is motivated by the black hole information paradox and a plausible fundamental connection…

General Relativity and Quantum Cosmology · Physics 2017-04-26 Bob Holdom , Jing Ren

We show that in the inhomogeneous Lema{\^i}tre-Tolman-Bondi space-time there are specific regions in which repulsive gravity exists. To find these regions, we use an invariant definition of repulsive gravity based upon the behavior of the…

General Relativity and Quantum Cosmology · Physics 2020-10-13 Roberto Giambò , Orlando Luongo , Hernando Quevedo

It is well known that the three parameters that characterize the Kerr black hole (mass, angular momentum and horizon area) satisfy several important inequalities. Remarkably, some of these inequalities remain valid also for dynamical black…

General Relativity and Quantum Cosmology · Physics 2015-06-18 Sergio Dain

Many inequivalent approaches to study black holes yield identical results. Any meaningful theory of gravity should explain the origin of this property. Here we show that the basic holomorphic modes characterising the underlying two…

General Relativity and Quantum Cosmology · Physics 2011-01-31 Rabin Banerjee

EVH black holes are Extremal black holes with Vanishing Horizon area, where vanishing of horizon area is a result of having a vanishing one-cycle on the horizon. We prove three theorems regarding near horizon geometry of EVH black hole…

High Energy Physics - Theory · Physics 2016-01-08 S. Sadeghian , M. M. Sheikh-Jabbari , M. H. Vahidinia , H. Yavartanoo

The inspirals of ``small'' ($1 - 100 M_\odot$) compact bodies through highly relativistic orbits of massive (several $\times 10^5 M_\odot -$ several $\times 10^6 M_\odot$) black holes are among the most anticipated sources for the LISA…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Scott A. Hughes

We study the threshold of gravitational collapse in spherically symmetric spacetimes governed by the Einstein-Maxwell-Vlasov equations. We numerically construct solutions describing a collapsing distribution of charged matter that either…

General Relativity and Quantum Cosmology · Physics 2026-04-14 William E. East

The most general formulation of Penrose's inequality yields a lower bound for ADM mass in terms of the area, charge, and angular momentum of black holes. This inequality is in turn equivalent to an upper and lower bound for the area in…

General Relativity and Quantum Cosmology · Physics 2013-07-31 Sergio Dain , Marcus Khuri , Gilbert Weinstein , Sumio Yamada

We consider an Einstein-Hilbert-Dilaton action for gravity coupled to various types of Abelian and non-Abelian gauge fields in a spatially finite system. These include Yang-Mills fields and Abelian gauge fields with three and four-form…

General Relativity and Quantum Cosmology · Physics 2009-10-28 J. Creighton , R. B. Mann

We consider the curvatures 2 form asociated with AdSL4 valued one-form gauge connetion, and then we construct a four-dimensional action that generalize the Einstein-Hilbert gravity. It is shown that the Maxwell extension of Einstein gravity…

High Energy Physics - Theory · Physics 2022-09-07 L. Cardenas , J. Diaz , P. Salgado , D. Salgado

This study investigates the nonlinear charged Anti-de Sitter (AdS) black hole solution within the framework of massive gravity, motivated by recent advancements linking the Weak Gravity Conjecture (WGC) to phenomena such as Weak Cosmic…

General Relativity and Quantum Cosmology · Physics 2025-08-06 Mohammad Reza Alipour , Mohammad Ali S Afshar , Saeed Noori Gashti , Behnam Pourhassan , Jafar Sadeghi

We present a gauge formulation of the special affine algebra extended to include an antisymmetric tensorial generator belonging to the tensor representation of the special linear group. We then obtain a Maxwell modified metric affine…

High Energy Physics - Theory · Physics 2021-10-27 Oktay Cebecioğlu , Salih Kibaroğlu

We prove that, in a general higher derivative theory of gravity coupled to abelian gauge fields and neutral scalar fields, the entropy and the near horizon background of a rotating extremal black hole is obtained by extremizing an entropy…

High Energy Physics - Theory · Physics 2010-04-06 Dumitru Astefanesei , Kevin Goldstein , Rudra P. Jena , Ashoke Sen , Sandip P. Trivedi

The objective of this paper is to analyze the weak deflection angle of Einstein-Gauss-Bonnet gravity in the presence of plasma medium. To attain our results, we implement the Gibbons and Werner approach and use the Gauss-Bonnet theorem to…

General Relativity and Quantum Cosmology · Physics 2022-04-28 Wajiha Javed , Muhammad Aqib , Ali Övgün

In this paper we study the area function of polygons, where the vertices are sliding along curves. We give geometric criteria for the critical points and determine also the Hesse matrix at those points. This is the starting point for a…

Metric Geometry · Mathematics 2024-07-22 Dirk Siersma

We study the extremal surfaces of functionals recently proposed for the holographic calculation of entanglement entropy in general higher curvature theories, using New Massive gravity and Gauss-Bonnet gravity as concrete examples. We show…

High Energy Physics - Theory · Physics 2015-06-18 Johanna Erdmenger , Mario Flory , Charlotte Sleight
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