Thermodynamic instability of charged dilaton black holes in AdS spaces

Journal Article · Thu Apr 15 04:00:00 EDT 2010 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.81.084040· OSTI ID:21409614

Sheykhi, A ^[1]; Dehghani, M H ^[2]; Hendi, S H ^[3]

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1. Department of Physics, Shahid Bahonar University, P.O. Box 76175-132, Kerman (Iran, Islamic Republic of)
2. Physics Department and Biruni Observatory, Shiraz University, Shiraz 71454 (Iran, Islamic Republic of)
3. Physics Department, College of Sciences, Yasouj University, Yasouj 75914 (Iran, Islamic Republic of)

We study thermodynamic instability of a class of (n+1)-dimensional charged dilatonic spherically symmetric black holes in the background of the anti-de Sitter universe. We calculate the quasilocal mass of the anti-de Sitter dilaton black hole through the use of the subtraction method of Brown and York. We find a Smarr-type formula and perform a stability analysis in the canonical ensemble and disclose the effect of the dilaton field on the thermal stability of the solutions. Our study shows that the solutions are thermally stable for small {alpha}, while for large {alpha} the system has an unstable phase, where {alpha} is a coupling constant between the dilaton and matter field.

• OSTI ID: 21409614
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 8 Vol. 81; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ANTI DE SITTER SPACE
BLACK HOLES
COMPUTERIZED SIMULATION
COUPLING CONSTANTS
INSTABILITY
MANY-DIMENSIONAL CALCULATIONS
MASS
MATHEMATICAL SOLUTIONS
MATHEMATICAL SPACE
SIMULATION
SPACE
STABILITY
SYMMETRY
UNIVERSE