Quasilocal thermodynamics of dilaton gravity coupled to gauge fields

Creighton, Jolien D.E.; Mann, Robert B.

doi:10.1103/PhysRevD.52.4569

Quasilocal thermodynamics of dilaton gravity coupled to gauge fields

Jolien D.E. Creighton
(
- Cambridge U.
)
,
Robert B. Mann
(
- Cambridge U.
)

Apr, 1995

41 pages

Published in:

Phys.Rev.D 52 (1995) 4569-4587

e-Print:

gr-qc/9505007 [gr-qc]

DOI:

10.1103/PhysRevD.52.4569

Report number:

DAMTP-R-95-23

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Abstract: (arXiv)

We consider an Einstein-Hilbert-Dilaton action for gravity coupled to various types of Abelian and non-Abelian gauge fields in a spatially finite system. These include Yang-Mills fields and Abelian gauge fields with three and four-form field strengths. We obtain various quasilocal quantities associated with these fields, including their energy and angular momentum, and develop methods for calculating conserved charges when a solution possesses sufficient symmetry. For stationary black holes, we find an expression for the entropy from the micro-canonical form of the action. We also find a form of the first law of black hole thermodynamics for black holes with the gauge fields of the type considered here.

Note:

41 pages, latex, uses fonts provided by AMSTeX Report-no: DAMTP-R/95/23

gravitation
field theory: dilaton
gauge field theory
black hole
thermodynamics
charge: conservation law
Hamiltonian formalism

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