Remarks on a possible relation between gravitational instantons and the spin thermodynamics of a Kerr black hole

Details Remarks on a possible relation between gravitational instantons and the spin thermodynamics of a Kerr black hole Remarks on a possible relation between gravitational instantons and the spin thermodynamics of a Kerr black hole

Aug 1981

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1981nciml..31..517c&link_type=abstract

Nuovo Cimento, Lettere, Serie 2, vol. 31, Aug. 8, 1981, p. 517-520.

Astronomy and Astrophysics

Astronomy

1

Black Holes (Astronomy), Einstein Equations, Gravitational Fields, Quantum Theory, Stellar Rotation, Thermodynamic Properties, Entropy, Space-Time Functions, Spin Temperature

Scientific paper

The possible relation between gravitational instantons and the thermodynamics of a Kerr black hole is examined within the framework of the path integral approach. A temperature is defined for the inner Killing horizon of the Kerr solution from considerations of the asymptotically flat complexified section exterior to the inner horizon, and it is noted that the temperature obtained has been identified as the spin temperature of a rotating black hole. It is then shown that a partition function defined in terms of the free energy and inverse field temperature may be applied to a Kerr black hole considered as a spin system, which implies that the instanton formulism exhibits a spin temperature associated with the partition function even on the inner horizon. It is concluded that both the C metric and the Kerr solution may be considered as two-temperature solutions which correspond to a suitable definition of the gravitational instanton.

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