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A general definition of a black hole is given, and general `laws of black-hole dynamics' derived. The definition involves something similar to an apparent horizon, a trapping horizon, defined as a hypersurface foliated by marginal surfaces…

广义相对论与量子宇宙学 · 物理学 2009-10-22 Sean A. Hayward

This is a review of current theory of black-hole dynamics, concentrating on the framework in terms of trapping horizons. Summaries are given of the history, the classical theory of black holes, the defining ideas of dynamical black holes,…

广义相对论与量子宇宙学 · 物理学 2009-02-28 Sean A. Hayward

An essentially complete new paradigm for dynamical black holes in terms of trapping horizons is presented, including dynamical versions of the physical quantities and laws which were considered important in the classical paradigm for black…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Sean A. Hayward

We explore various aspects of dynamical black holes defined by a future outer trapping horizon in $n(\ge 5)$-dimensional Einstein-Gauss-Bonnet gravity. In the present paper, we assume that the spacetime has symmetries corresponding to the…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Masato Nozawa , Hideki Maeda

A property well known as the first law of black hole is a relation among infinitesimal variations of parameters of stationary black holes. We consider a dynamical version of the first law, which may be called the first law of black hole…

广义相对论与量子宇宙学 · 物理学 2009-10-31 Shinji Mukohyama , Sean A. Hayward

The close similarities of the three laws of black hole mechanics, discovered by Bardeen, Carter and Hawking, with the laws of thermodynamics led to the identification of a multiple of the area of the event horizon with entropy. However,…

广义相对论与量子宇宙学 · 物理学 2026-04-14 Abhay Ashtekar , Daniel E. Paraizo , Jonathan Shu

We consider two proposals for defining black hole entropy in spherical symmetry, where the horizon is defined locally as a trapping horizon. The first case, boundary terms in a dual-null form of the reduced action in two dimensions, gives a…

广义相对论与量子宇宙学 · 物理学 2010-11-19 Michael C. Ashworth , Sean A. Hayward

For distant observers black holes are trapped spacetime domains bounded by apparent horizons. We review properties of the near-horizon geometry emphasizing the consequences of two common implicit assumptions of semiclassical physics. The…

广义相对论与量子宇宙学 · 物理学 2022-09-16 Robert B. Mann , Sebastian Murk , Daniel R. Terno

Trapped regions bounded by horizons are the defining features of black holes. However, formation of a singularity-free apparent horizon in finite time of a distant observer is consistent only with special states of geometry and matter in…

广义相对论与量子宇宙学 · 物理学 2020-07-01 Daniel R. Terno

In calculations of gravitational collapse to form black holes, trapping horizons (foliated by marginally trapped surfaces) make their first appearance either within the collapsing matter or where it joins on to a vacuum exterior. Those…

广义相对论与量子宇宙学 · 物理学 2017-06-19 Alexis Helou , Ilia Musco , John C. Miller

The third law of black hole dynamics states that it is impossible, through any classical perturbation of a stationary configuration, to reduce the surface gravity of a black hole to zero. In this work, we examine the validity of this law…

广义相对论与量子宇宙学 · 物理学 2026-03-20 Jyotirmoy De , Chiranjeeb Singha , Naresh Dadhich

A unified first law of black-hole dynamics and relativistic thermodynamics is derived in spherically symmetric general relativity. This equation expresses the gradient of the active gravitational energy E according to the Einstein equation,…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Sean A. Hayward

A set of boundary conditions defining an undistorted, non-rotating isolated horizon are specified in general relativity. A space-time representing a black hole which is itself in equilibrium but whose exterior contains radiation admits such…

广义相对论与量子宇宙学 · 物理学 2009-10-31 Abhay Ashtekar , Christopher Beetle , Stephen Fairhurst

Singularity-free regular black holes are a popular alternative to the singular mathematical black holes predicted by general relativity. Here, we derive a generic condition that spherically symmetric dynamical regular black holes must…

广义相对论与量子宇宙学 · 物理学 2023-08-09 Sebastian Murk , Ioannis Soranidis

The traditional description of black holes in terms of event horizons is inadequate for many physical applications, especially when studying black holes in non-stationary spacetimes. In these cases, it is often more useful to use the…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Badri Krishnan

The first and second laws of black hole thermodynamics are verified to emerge from a generic semiclassical theory of gravity for which a Hamiltonian can be defined. The first law is established for stationary spacetimes, and the second law…

广义相对论与量子宇宙学 · 物理学 2021-09-07 Bruno Arderucio-Costa

A generic formula for the entropy of three-dimensional black holes endowed with a spin-3 field is found, which depends on the horizon area A and its spin-3 analogue, given by the reparametrization invariant integral of the induced spin-3…

高能物理 - 理论 · 物理学 2013-09-06 Alfredo Perez , David Tempo , Ricardo Troncoso

Black holes can be practically located (e.g. in numerical simulations) by trapping horizons, hypersurfaces foliated by marginal surfaces, and one desires physically sound measures of their mass and angular momentum. A generically unique…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Sean A. Hayward

Working in a semi-classical setting, we consider solutions of the Einstein equations that exhibit light trapping in finite time according to distant observers. In spherical symmetry, we construct near-horizon quantities from the assumption…

广义相对论与量子宇宙学 · 物理学 2023-11-14 Pravin K. Dahal , Fil Simovic , Ioannis Soranidis , Daniel R. Terno

In a recent paper (gr-qc/0509107) the author and Rick Schoen obtained a generalization to higher dimensions of a classical result of Hawking concerning the topology of black holes. It was proved that, apart from certain exceptional…

广义相对论与量子宇宙学 · 物理学 2008-01-14 Gregory J. Galloway
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