NDLI: Black Hole Dynamic Potentials

Content Provider	Springer Nature Link
Author	Kabe, Koustubh Ajit
Copyright Year	2012
Abstract	In the following paper, certain black hole dynamic potentials have been developed definitively on the lines of classical thermodynamics. These potentials have been refined in view of the small differences in the equations of the laws of black hole dynamics as given by Bekenstein and those of thermodynamics. Nine fundamental black hole dynamical relations have been developed akin to the four fundamental thermodynamic relations of Maxwell. The specific heats C $_{ Ω,Φ }$ and C $_{ J,Q }$ have been defined. For a black hole, these quantities are negative. The κdA equation has been obtained as an application of these fundamental relations. Time reversible processes observing constancy of surface gravity are considered and an equation connecting the internal energy of the black hole E, the additional available energy defined as the first free energy function K, and the surface gravity κ, has been obtained. Finally as a further application of the fundamental relations, it has been proved for a homogeneous gravitational field in black hole space times or a de Sitter black hole that $C_{\Omega ,\Phi } -C_{J,Q} =\kappa \left[ {\left( {\frac{\partial J}{\partial \kappa }} \right)_{\Omega ,\Phi } \left( {\frac{\partial \Omega }{\partial \kappa }} \right)_{J,Q} +\left( {\frac{\partial Q}{\partial \kappa }} \right)_{\Omega ,\Phi } \left( {\frac{\partial \Phi }{\partial \kappa }} \right)_{J,Q} } \right]$ . This is dubbed as the homogeneous fluid approximation in context of the black holes.
Starting Page	349
Ending Page	359
Page Count	11
File Format	PDF
ISSN	02506335
Journal	Journal of Astrophysics and Astronomy
Volume Number	33
Issue Number	3
e-ISSN	09737758
Language	English
Publisher	Springer-Verlag
Publisher Date	2012-10-02
Publisher Institution	Indian Academy of Sciences
Publisher Place	India
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Black hole dynamics—black hole thermodynamics—thermodynamic potentials Astronomy, Observations and Techniques Astrophysics and Astroparticles
Content Type	Text
Resource Type	Article
Subject	Astronomy and Astrophysics Space and Planetary Science

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