منابع مشابه
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 energy E according to the Einstein equation. Projecting the equation along the flow of thermodynamic matter and along the trapping horizon of a black hole yield, respectively, first laws of relativisti...
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We show that black holes fulfill the scaling laws arising in critical transitions. In particular, we find that in the transition from negative to positive values the heat capacities CJQ, CΩQ and CJΦ give rise to critical exponents satisfying the scaling laws. The three transitions have the same critical exponents as predicted by the universality Hypothesis. We also briefly discuss the implicati...
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Using the inverse scattering method we construct an exact stationary asymptotically flat 4+1-dimensional vacuum solution describing “black saturn”: a spherical black hole surrounded by a black ring. Angular momentum keeps the configuration in equilibrium. Black saturn reveals a number of interesting gravitational phenomena: (1) The balanced solution exhibits 2-fold continuous non-uniqueness for...
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We obtain expressions for the mass and angular momenta of rotating black holes in anti-de Sitter backgrounds in four, five and higher dimensions. We verify explicitly that our expressions satisfy the first law of thermodynamics, thus allowing an unambiguous identification of the entropy of these black holes with 1 4 of the area. We find that the associated thermodynamic potential equals the bac...
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We show that under variation of moduli fields φ the first law of black hole thermodynamics becomes dM = κdA 8π + ΩdJ +ψdq+χdp−Σdφ, where Σ are the scalar charges. We also show that the ADM mass is extremized at fixed A, J , (p, q) when the moduli fields take the fixed value φfix(p, q) which depend only on electric and magnetic charges. It follows that the least mass of any black hole with fixed...
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ژورنال
عنوان ژورنال: Physical Review D
سال: 2007
ISSN: 1550-7998,1550-2368
DOI: 10.1103/physrevd.75.124015