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Related papers: Area-charge inequality for black holes

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We show how to reduce the general formulation of the mass-angular momentum-charge inequality, for axisymmetric initial data of the Einstein-Maxwell equations, to the known maximal case whenever a geometrically motivated system of equations…

General Relativity and Quantum Cosmology · Physics 2015-12-09 Ye Sle Cha , Marcus A. Khuri

We study the equal area law and charge-electric potential criticality for the charged Anti-de Sitter black holes. Considering that the black hole charge is a double-valued function of the electric potential, we investigate the equal area…

General Relativity and Quantum Cosmology · Physics 2019-05-30 Run Zhou , Shao-Wen Wei

It has been argued by several authors, using different formalisms, that the quantum mechanical spectrum of black hole horizon area is discrete and uniformly spaced. Recently it was shown that two such approaches, namely the one involving…

High Energy Physics - Theory · Physics 2011-07-19 Saurya Das , P. Ramadevi , U. A. Yajnik , A. Sule

Extreme black holes with 1/8 of unbroken N=8 supersymmetry are characterized by the non-vanishing area of the horizon. The central charge matrix has four generic eigenvalues. The area is proportional to the square root of the invariant…

High Energy Physics - Theory · Physics 2009-12-30 Renata Kallosh , Barak Kol

Black hole thermodynamics suggests that a black hole should have an entropy given by a quarter of the area of its horizon. Earlier calculations in U(1) loop quantum gravity have led to a dominant term proportional to the area, but there was…

General Relativity and Quantum Cosmology · Physics 2012-05-17 P. Mitra

We consider Einstein gravity minimally coupled to two Maxwell fields and one (real) dilaton scalar. We study the electrically-charged spherically-symmetric and static solutions that are asymptotic to Minkowski spacetime. General solutions…

High Energy Physics - Theory · Physics 2025-11-11 Guan-Yi Lu , Meng-Nan Yang , H. Lu

Earlier calculations of black hole entropy in loop quantum gravity have given a term proportional to the area with a correction involving the logarithm of the area when the area eigenvalue is close to the classical area. However the…

General Relativity and Quantum Cosmology · Physics 2014-06-25 P. Mitra

The adiabatic invariant nature of black hole horizon area in classical gravity suggests that in quantum theory the corresponding operator has a discrete spectrum. I here develop further an algebraic approach to black hole quantization which…

High Energy Physics - Theory · Physics 2015-06-26 Jacob D. Bekenstein

For a stable marginally outer trapped surface (MOTS) in an axially symmetric spacetime with cosmological constant $\Lambda > 0$ and with matter satisfying the dominant energy condition, we prove that the area $A$ and the angular momentum…

General Relativity and Quantum Cosmology · Physics 2015-02-12 Maria Eugenia Gabach Clement , Martin Reiris , Walter Simon

In contrast to alternative values, the quantum of area $\Delta A = 8\pi l_P^{2}$ does not follow from the usual statistical interpretation of black hole entropy; on the contrary, a statistical interpretation follows from it. This…

General Relativity and Quantum Cosmology · Physics 2014-11-20 Kostiantyn Ropotenko

We construct a time-symmetric asymptotically flat initial data set to the Einstein-Maxwell Equations which satisfies the inequality: m - 1/2(R + Q^2/R) < 0, where m is the total mass, R=sqrt(A/4) is the area radius of the outermost horizon…

Differential Geometry · Mathematics 2009-11-10 Gilbert Weinstein , Sumio Yamada

Without pretending to any rigour, we find a general expression of the electrostatic self-energy in static black holes with spherical symmetry. We determine the entropy bound of a charged object by assuming the existence of thermodynamics…

General Relativity and Quantum Cosmology · Physics 2009-10-31 B. Linet

Angular momentum and mass-charge inequalities for axisymmetric maximal time-symmetric initial data in Einstein-Maxwell gravity with dark matter sector were derived. The dark matter sector is mimicked by another U(1)-gauge field coupled to…

High Energy Physics - Theory · Physics 2017-02-21 Marek Rogatko

We compute the quasinormal modes of static and spherically symmetric black holes (BHs) with electric and magnetic charges. For the electrically charged case, the dynamics of perturbations separates into the odd- and even-parity sectors with…

General Relativity and Quantum Cosmology · Physics 2024-04-16 Antonio De Felice , Shinji Tsujikawa

The Penrose inequality estimates the lower bound of the mass of a black hole in terms of the area of its horizon. This bound is relatively loose for extremal or near extremal black holes. We propose a new Penrose-like inequality for static…

General Relativity and Quantum Cosmology · Physics 2022-10-21 H. Khodabakhshi , H. Lu , Run-Qiu Yang

We investigate the possibility of overcharging spherically-symmetric black holes in spacetime dimensions $D > 4$ by the capture of a charged particle. We generalize Wald's classic result that extremal black holes cannot be overcharged. For…

General Relativity and Quantum Cosmology · Physics 2017-09-13 Karl Simon Revelar , Ian Vega

We study the property of matter in equilibrium with a static, spherically symmetric black hole in D-dimensional spacetime. It requires this kind of matter has an equation of state (\omega\equiv p_r/\rho=-1/(1+2kn), k,n\in \mathbb{N}), which…

High Energy Physics - Theory · Physics 2010-02-18 Chao Cao , Yi-Xin Chen , Jian-Long Li

We carefully examine the exact analytic spectrum of quasinormal modes of general black holes in the so-called subtracted geometry of maximally supersymmetric supergravity. These black holes have the same area and surface gravity at both the…

High Energy Physics - Theory · Physics 2025-04-22 Mirjam Cvetic , Malcolm J. Perry

We consider $n$-dimensional spacetimes which are axisymmetric--but not necessarily stationary (!)--in the sense of having isometry group $U(1)^{n-3}$, and which satisfy the Einstein equations with a non-negative cosmological constant. We…

General Relativity and Quantum Cosmology · Physics 2015-05-30 Stefan Hollands

This paper deals with the dynamical behavior of phantom field near five dimensional charged black hole. We formulate equations of motion for steady-state spherically symmetric flow of phantom fluids. It is found that phantom energy accretes…

General Relativity and Quantum Cosmology · Physics 2011-08-09 M. Sharif , G. Abbas