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Surface gravity plays a pivotal role in the characterization of black holes and also in formulating the laws of black hole thermodynamics. Despite its significance, defining surface gravity in general spacetimes is a nontrivial task and…

General Relativity and Quantum Cosmology · Physics 2023-11-22 Pravin Kumar Dahal

We consider marginally trapped surfaces in a spherically symmetric spacetime evolving due to the presence of a perfect fluid in D-dimensions and look at the various definitions of the surface gravity for these marginally trapped surfaces.…

General Relativity and Quantum Cosmology · Physics 2023-04-13 Anamika Avinash Pathak , Konka Raviteja , Swastik Bhattacharya , Sashideep Gutti

We discuss how the surface gravity can be classically defined for dynamical black holes. In particular we focus on defining the surface gravity for locally defined horizons and compare a number definitions proposed in the literature. We…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Alex B. Nielsen , Jong Hyuk Yoon

We study dynamical surface gravity in a general spherically symmetric setting using Painlev\'{e}-Gullstrand (PG) coordinates. Our analysis includes several definitions that have been proposed in the past as well as two new definitions…

General Relativity and Quantum Cosmology · Physics 2015-05-27 Mathias Pielahn , Gabor Kunstatter , Alex B. Nielsen

In a quantum gravity theory, spacetime at mesoscopic scales can acquire a novel structure very different from the classical concept of general relativity. A way to effectively characterize the quantum nature of spacetime is through a…

General Relativity and Quantum Cosmology · Physics 2021-09-28 J. J. Relancio , S. Liberati

The surface gravity of any Killing horizon, in any spacetime dimension, can be interpreted as a local, two-dimensional expansion rate seen by freely falling observers when they cross the horizon. Any two-dimensional congruence of geodesics…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Ted Jacobson , Renaud Parentani

Using minimalist assumptions we develop a natural functional decomposition for the spacetime metric, and explicit tractable formulae for the surface gravities, in arbitrary stationary circular (PT symmetric) axisymmetric spacetimes. We…

General Relativity and Quantum Cosmology · Physics 2023-05-30 Joshua Baines , Matt Visser

Here we consider the generalized Oppenheimer-Snyder collapse of a star into a four-dimensional Einstein-Gauss-Bonnet black hole as well as a class of regular black holes labeled by the polytropic index of the stellar matter. We then analyze…

General Relativity and Quantum Cosmology · Physics 2024-10-01 A. Sadeghi , F. Shojai , F. Bahmani

The requirement that a trapped spacetime domain forms in finite time for distant observers is logically possible and sometimes unavoidable, but its consequences are not yet fully understood. In spherical symmetry, the characterization of…

General Relativity and Quantum Cosmology · Physics 2025-11-07 Daniel R. Terno

There are many logically and computationally distinct characterizations of the surface gravity of a horizon, just as there are many logically rather distinct notions of horizon. Fortunately, in standard general relativity, for stationary…

General Relativity and Quantum Cosmology · Physics 2013-06-18 Bethan Cropp , Stefano Liberati , Matt Visser

The idea of treating the horizon of a black hole as a stretched membrane with surface tension has a long history. In this work, we discuss the microscopic origin of the surface tension of the horizon in quantum pictures of spaces, which are…

General Relativity and Quantum Cosmology · Physics 2022-03-25 Liangsuo Shu , Kaifeng Cui , Xiaokang Liu , Zhichun Liu , Wei Liu

In the context of thermodynamics applied to our cosmological apparent horizon, we explicit in greater details our previous work which established the Friedmann Equations from projection of Hayward's Unified First Law. In particular, we show…

General Relativity and Quantum Cosmology · Physics 2015-02-17 Alexis Helou

Bearing the thermodynamic arguments together with the two definitions of mass in mind, we try to find metrics with spherical symmetry. We consider the adiabatic condition along with the Gong-Wang mass, and evaluate the $g_{rr}$ element…

General Relativity and Quantum Cosmology · Physics 2016-12-23 H. Moradpour , S. Nasirimoghadam

We have different definitions of the surface gravity (SG) of a horizon since we can say we have distinct classifications of horizons. The SG has an underlying role in the laws of black hole (BH) thermodynamics, being constant in the event…

General Relativity and Quantum Cosmology · Physics 2024-03-06 Everton M. C. Abreu

In this article, we give a definition of apparent horizon in a two dimensional general dilaton gravity theory. With this definition, we construct the mechanics of the apparent horizon by introducing a quasi-local energy of the theory. Our…

General Relativity and Quantum Cosmology · Physics 2016-09-28 Rong-Gen Cai , Li-Ming Cao

Our knowledge of dynamical black holes suffers from a lack of observational insight. In an analogue model of gravity, we can design a longitudinally symmetric dynamical acoustic black hole with a moving horizon. In this symmetric spacetime,…

General Relativity and Quantum Cosmology · Physics 2021-06-29 Oindrila Ganguly

Concept of curvature of liquid surrounding a spherical surface seems obvious in daily life, but based on earthly conditions everywhere. However, our understanding about the concept seems more transparent when we keep the system out of the…

Fluid Dynamics · Physics 2020-08-27 Rajdeep Tah , Sarbajit Mazumdar , Krishna Kant Parida

In general relativity, a gravitational horizon (more commonly known as the "apparent horizon") is an imaginary surface beyond which all null geodesics recede from the observer. The Universe has an apparent (gravitational) horizon, but…

General Relativity and Quantum Cosmology · Physics 2018-09-19 Fulvio Melia

Geometries with horizons offer insights into relationships between general relativity and quantum physics. For static spherically symmetric space-times, the event horizon is coincident with a coordinate anomaly that introduces complications…

General Relativity and Quantum Cosmology · Physics 2008-03-25 James Lindesay

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
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