New Formulation of the First Law of Black Hole Thermodynamics: A Stringy Analogy

Abstract

We consider the first laws of thermodynamics for a pair of systems made up of the two horizons of a Kerr-Newman black hole. These two systems are constructed in such a way that we only demand their ``horizon areas'' to be the sum and difference of that of the outer and inner horizons of their prototype. Remarkably, these two copies bear a striking resemblance to the right- and left-movers in string theory and D-brane physics. Our reformulation of the first law of black hole thermodynamics can be thought of as an analogy of thermodynamics of effective string or D-brane models.

5 pages, no figure, revtex 4, one reference added and typesetting errors corrected

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Cited by in corpus (19)

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• Hawking radiation in a $d$-dimensional static spherically-symmetric black Hole surrounded by quintessence
• $P-V$ criticality of AdS black hole in $f(R)$ gravity
• Thermodynamical hairs of the four-dimensional Taub-Newman-Unti-Tamburino spacetimes
• Are ultra-spinning Kerr-Sen-AdS${}_4$ black holes always super-entropic ?
• Aspects of the dyonic Kerr-Sen-AdS${}_4$ black hole and its ultraspinning version
• Asymptotic Spectroscopy of Rotating Black Holes
• Notes on thermodynamics of super-entropic AdS black holes
• Killing Horizons: Negative Temperatures and Entropy Super-Additivity
• Consistent mass formulas for the four-dimensional dyonic NUT-charged spacetimes
• Consistent mass formulas for higher even-dimensional Taub-NUT spacetimes and their AdS counterparts
• On the Thermodynamical Relation between Rotating Charged BTZ Black Holes and Effective String Theory
• Consistent mass formulas for higher even-dimensional Reissner-Nordström-NUT-AdS spacetimes
• Radiation of the Inner Horizon of the Reissner-Nordström Black Hole
• Thermodynamics Of dilaton-axion black holes
• Stationary Scalar Clouds Around Maximally Rotating Linear Dilaton Black Holes
• Revisiting mass formulas of the four-dimensional Reissner-Nordström-NUT-AdS solutions in a different metric form
• Explicit black hole thermodynamics in natural variables
• Correction to Hawking radiation in non-singular gravitational collapse