Dirty black holes: Thermodynamics and horizon structure

Journal Article · Tue Sep 15 00:00:00 EDT 1992 · Physical Review, D (Particles Fields); (United States)

DOI:https://doi.org/10.1103/PhysRevD.46.2445· OSTI ID:7173939

Visser, M ^[1]

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1. Physics Department, Washington University, St. Louis, Missouri 63130-4899 (United States)

Considerable interest has recently been expressed in (static spherically symmetric) black holes in interaction with various classical matter fields (such as electromagnetic fields, dilaton fields, axion fields, Abelian Higgs fields, non-Abelian gauge fields, etc.). A common feature of these investigations that has not previously been remarked upon is that the Hawking temperature of such systems appears to be suppressed relative to that of a vacuum black hole of equal horizon area. That is, {ital kT}{sub {ital H}}{le}{h bar}/(4{pi}{ital r}{sub {ital H}})=={h bar}/ {radical}4{pi}{ital A}{sub {ital H}} . This paper will argue that this suppression is generic. Specifically, it will be shown that {ital kT}{sub {ital H}}=({h bar}/4{pi}{ital r}{sub {ital H}}){ital e}{sup {minus}{phi}({ital r}}{sub {ital H}}) (1{minus}8{pi}{ital G}{rho}{sub {ital H}r{ital H}}{sup 2}). Here {phi}({ital r}{sub {ital H}}) is an integral quantity, depending on the distribution of matter, that is guaranteed to be positive if the weak energy condition is satisfied. Several examples of this behavior will be discussed. Generalizations of this behavior to nonsymmetric nonstatic black holes are conjectured.

• OSTI ID: 7173939
• Journal Information: Physical Review, D (Particles Fields); (United States), Vol. 46:6; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BLACK HOLES
THERMODYNAMIC PROPERTIES
AXIONS
BOUNDARY CONDITIONS
EINSTEIN FIELD EQUATIONS
ELECTROMAGNETIC FIELDS
ENERGY DENSITY
GRAVITATIONAL FIELDS
HIGGS MODEL
VACUUM STATES
BOSONS
ELEMENTARY PARTICLES
EQUATIONS
FIELD EQUATIONS
GOLDSTONE BOSONS
MATHEMATICAL MODELS
PARTICLE MODELS
PHYSICAL PROPERTIES
POSTULATED PARTICLES
662110* - General Theory of Particles & Fields- Theory of Fields & Strings- (1992-)