Searching for dynamical black holes in various theories of gravity

We construct models of Einstein and f(R) gravity with two scalar fields, which admit analytical solutions describing time-varying dynamical black holes. Their thermodynamics is investigated in the adiabatic approximation. In addition to the Misner-Sharp-Hernandez quasilocal mass, we provide time-dependent thermodynamical quantities, including the Hawking temperature, Helmholtz free energy, entropy, and thermodynamical energy. The latter does not always coincide with the Misner-Sharp-Hernandez mass at the horizon, although they coincide in the static limit. For Schwarzschild-type (i.e., gttgrr=-1) black holes in Einstein gravity, one of the two scalars is always a ghost with negative kinetic energy. We show that this ghost can be avoided in f(R) gravity.

Note:

Added extra explanation and Appendix B, bibliography expanded. Matches version accepted in Phys. Rev. D

General relativity, alternative theories of gravity
approximation: adiabatic
field theory: scalar
temperature: Hawking
energy: kinetic
gravitation: model
black hole
thermodynamical
time dependence
Einstein

References(170)

Figures(0)

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