Dynamical surface gravity

@article{Nielsen2008DynamicalSG,
  title={Dynamical surface gravity},
  author={Alex B. Nielsen and Jong Hyuk Yoon},
  journal={Classical and Quantum Gravity},
  year={2008},
  volume={25},
  pages={085010}
}
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 of definitions proposed in the literature. We illustrate the differences between the various proposals in the case of an arbitrary dynamical, spherically symmetric black hole spacetime. We also discuss how the trapping horizon formalism of Hayward can be related to other constructions. 
Dynamical Surface Gravity in Spherically Symmetric Black Hole Formation
We study dynamical surface gravity in a general spherically symmetric setting using Painleve´Gullstrand coordinates. Our analysis includes several definitions that have been proposed in the past as
Some results on dynamical black holes
We give indications that outer future trapping horizons play a role in the particular semi-classical instability of an evolving black hole that produces the Hawking's radiation. These are obtained
Evolving Black Hole Horizons in General Relativity and Alternative Gravity
From the microscopic point of view, realistic black holes are time-dependent and the teleological concept of the event horizon fails. At present, the apparent or trapping horizon seem to be its best
Cosmological apparent and trapping horizons
The dynamics of particle, event, and apparent horizons in FLRW space are discussed. The apparent horizon is trapping when the Ricci curvature is positive. This simple criterion coincides with the
Surrounded Vaidya black holes: apparent horizon properties
We study the thermodynamical features and dynamical evolutions of various apparent horizons associated with the Vaidya evaporating black hole surrounded by the cosmological fields of dust, radiation,
Conformal Killing horizons and their thermodynamics
Certain dynamical black hole solutions can be mapped to static spacetimes by conformal metric transformations. This mapping provides a physical link between the conformal Killing horizon of the
Surface gravities for non-Killing horizons
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
Notes on entropy force in general spherically symmetric spacetimes
In a recent paper [arXiv:1001.0785], Verlinde has shown that the Newton gravity appears as an entropy force. In this paper we show how gravity appears as entropy force in Einstein's equation of
Fundamental properties and applications of quasi-local black hole horizons
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,
Acoustic Hawking radiation from evolving horizon in dynamical analogue spacetime
In a general analogue model, we construct a dynamical acoustic black hole spacetime with longitudinal symmetry. We identify its degenerate evolving horizon and marginally outer trapped surface,
...
...

References

SHOWING 1-10 OF 36 REFERENCES
Surface gravity in dynamical spherically symmetric spacetimes.
TLDR
It turns out that there is a simple connection between the surface gravity, the acceleration of any radially moving observer, and the observed frequency change of the infalling light signal, which gives a practical and simple method of how any geodesic observer can determine surface gravity by measuring only the redshift of theinfalling light wave.
Black holes as local horizons
This talk gives a brief introduction to black hole horizons and their role in black hole thermodynamics. In particular a distinction is made between quasi-locally defined horizons and event horizons.
The four laws of black hole mechanics
Expressions are derived for the mass of a stationary axisymmetric solution of the Einstein equations containing a black hole surrounded by matter and for the difference in mass between two
Skyrme black holes in the isolated horizons formalism
We study static, spherically symmetric, Skyrme black holes in the context of the assumption that they can be viewed as bound states between ordinary bare black holes and solitons. This assumption and
Mechanics of isolated horizons
A set of boundary conditions defining an undistorted, non-rotating isolated horizon are specified in general relativity. A spacetime representing a black hole which is itself in equilibrium but whose
The first law for slowly evolving horizons.
TLDR
A dynamical first law is derived by introducing a new perturbative formulation for dynamic horizons in which "slowly evolving" trapping horizons may be viewed as perturbatively nonisolated.
Uniqueness of stationary, electro-vacuum black holes revisited
In recent years there has been some progress in the understanding of the global structure of stationary black hole space-times. In this paper we review some new results concerning the structure of
Conserved Energy Flux for the Spherically Symmetric System and the Backreaction Problem in the Black Hole Evaporation
For the spherically symmetric system, we prove the existence o{ a new locally cotEen·ecl flux which can be interpreted to represent the total energy flux of matter and gravitational field. ·with the
Unified first law of black hole dynamics and relativistic thermodynamics
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
Isolated and Dynamical Horizons and Their Applications
TLDR
A new, quasi-local framework was introduced to analyze diverse facets of black holes in a unified manner that has introduced a more physical setting for black hole thermodynamics, suggested a phenomenological model for hairy black holes, provided novel techniques to extract physics from numerical simulations, and led to new laws governing the dynamics ofblack holes in exact general relativity.
...
...