Physics – Nuclear Physics
Scientific paper
Feb 1996
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1996nuphb.476..548j&link_type=abstract
Nuclear Physics B, v. 476, p. 548-555.
Physics
Nuclear Physics
19
Scientific paper
The thermodynamics of a stationary axisymmetric Einstein-Maxwell dilaton-axion (EMDA) black hole is investigated using general statistical physics methods. It is shown that entropy and energy have the same form as for the Kerr-Newman charged black hole, but temperature, heat capacity and chemical potential have a different form. However, it is shown that the Bardeen-Carter-Hawking laws of black hole thermodynamics are valid for the stationary axisymmetric EMDA black hole. The black hole possesses second-order phase transitions as does the Kerr-Newman black hole because its heat capacity diverges but both the Helmholtz free energy and entropy are continuous at some value of J and Q. Another interesting result is that the action I can be expressed as I = S + βΩrhJ for general stationary black holes in which the external material contribution to mass and angular momentum vanishes. When J = 0, i.e., for static black holes, the result reduces to I = S.
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