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Spontaneous localisation is a falsifiable, phenomenological, mechanism for explaining the absence of macroscopic position superpositions, currently being tested for in the laboratory. The theory of trace dynamics provides a possible…

General Relativity and Quantum Cosmology · Physics 2020-01-08 Palemkota Maithresh , Tejinder P. Singh

The thermodynamic second law in the evaporating black hole space-time is examined in the context of two-dimensional dilaton black hole. The dynamical evolution of entropy is investigated by using the analytical perturbation method and the…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Kouichirou Hirata , Yoshi Fujiwara , Jiro Soda

The first law of black hole mechanics (in the form derived by Wald), is expressed in terms of integrals over surfaces, at the horizon and spatial infinity, of a stationary, axisymmetric black hole, in a diffeomorphism invariant Lagrangian…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Vivek Iyer

Entanglement entropy first arose from attempts to understand the entropy of black holes, and is believed to play a crucial role in a complete description of quantum gravity. This thesis explores some proposed connections between…

High Energy Physics - Theory · Physics 2018-08-14 Antony J. Speranza

A Liouville formalism was proposed many years ago to account for the black hole entropy. It was recently updated to connect thermodynamics of general black holes, in particular the Hawking temperature, to two-dimensional Liouville theory.…

High Energy Physics - Theory · Physics 2012-08-09 Fang-Fang Yuan , Yong-Chang Huang

As in thermodynamics, the celebrated first law of black hole mechanics relates infinitesimal changes in the properties of nearby equilibrium states of black holes (without reference to any physical process that causes the transition). Using…

General Relativity and Quantum Cosmology · Physics 2026-05-26 Abhay Ashtekar , Daniel E. Paraizo , Jonathan Shu

We present, in closed analytic form, a general stationary, slowly rotating black hole, which is solution to a large class of alternative theories of gravity in four dimensions. In these theories, the Einstein-Hilbert action is supplemented…

General Relativity and Quantum Cosmology · Physics 2011-10-27 Paolo Pani , Caio F. B. Macedo , Luis C. B. Crispino , Vitor Cardoso

The detection of gravitational waves from binary black holes sources has opened the possibility to search for electric charges and "dark" charges on black holes, the latter being candidates for dark matter. This requires theoretical…

General Relativity and Quantum Cosmology · Physics 2025-12-23 Pawan Kumar Gupta

We propose a modified gravity theory by extending the Einstein-Hilbert action with an arbitrary function of the Ricci scalar and the Kretschmann scalar invariants. The resulting modified Friedmann equations for a spatially flat FRW universe…

General Relativity and Quantum Cosmology · Physics 2026-05-29 A. Dehyadegari , A. Sheykhi

Starting from metric of the general nonextreme stationary axisymmetric black hole in four-dimensional spacetime, both statistical-mechanical and thermodynamical entropies are studied. First, by means of the "brick wall" model in which the…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Jiliang Jing , Mu-Lin Yan

We develop a constraint-free formulation that generalizes Padmanabhan's method for deriving the first law of black hole thermodynamics directly from the Einstein field equations. In previous studies, even for multi-horizon black holes,…

General Relativity and Quantum Cosmology · Physics 2026-05-14 Geonwoo Ahn , Ijin Bae , Geunyeong Jang , Yongjoon Kwon

Wald's formula for black hole entropy, applied to extremal black holes, leads to the entropy function formalism. We manipulate the entropy computed this way to express it as the logarithm of the ground state degeneracy of a dual quantum…

High Energy Physics - Theory · Physics 2009-09-15 Ashoke Sen

We derive new bounds on higher-dimension operator coefficients in four-dimensional Einstein-Maxwell theory. Positivity of classically-generated corrections to the Wald entropy of thermodynamically stable, rotating dyonic black holes implies…

High Energy Physics - Theory · Physics 2019-08-06 Clifford Cheung , Junyu Liu , Grant N. Remmen

In arbitrary dimension, we consider a theory described by the most general quadratic curvature corrections of Einstein gravity together with a self-interacting nonminimally coupled scalar field. This theory is shown to admit five different…

Hermiticity is usually treated as a foundational axiom of quantum mechanics, guaranteeing real spectra and unitary time evolution. In this work we argue that Hermiticity is more naturally understood as a symmetry law arising from the global…

General Relativity and Quantum Cosmology · Physics 2026-03-05 Oem Trivedi , Alfredo Gurrola , Robert J. Scherrer

In this paper, we investigate the second law of the black holes in Lovelock gravity sourced by a conformally coupled scalar field under the first-order approximation when the perturbation matter fields satisfy the null energy condition.…

High Energy Physics - Theory · Physics 2020-04-24 Jie Jiang , Ming Zhang

Quantum effects due to conformal matter in a black hole background result in universal logarithmic corrections to black-hole entropy. The universality resides in the connection of the log term coefficient with those of type-A and type-B…

General Relativity and Quantum Cosmology · Physics 2015-06-16 R Aros , D E Diaz , A Montecinos

The generalized second law (GSL) of black hole thermodynamics asserts the monotonic increase of the generalized entropy combining the black hole area and the entropy of quantum fields outside the horizon. Modern proofs of the GSL rely on…

High Energy Physics - Theory · Physics 2026-01-08 Antoine Rignon-Bret , Matthieu Vilatte

We analyse in detail the thermodynamics in the canonical and grand canonical ensembles of a class of non-asymptotically flat black holes of the Einstein-(anti) Maxwell-(anti) Dilaton theory in 4D with spherical symmetry. We present the…

General Relativity and Quantum Cosmology · Physics 2013-04-09 Manuel E. Rodrigues , Glauber Tadaiesky Marques

We demonstrate how Sakharov's idea of induced gravity allows one to explain the statistical-mechanical origin of the entropy of a black hole. According to this idea, gravity becomes dynamical as the result of quantum effects in the system…

High Energy Physics - Theory · Physics 2007-05-23 V. P. Frolov , D. V. Fursaev