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Proceedings of the Royal Society of London. Series A, Mathematical and Physical Sciences
Journal Article

Black Holes and Thermal Green Functions

G. W. Gibbons and M. J. Perry
Proceedings of the Royal Society of London. Series A, Mathematical and Physical Sciences
Vol. 358, No. 1695 (Jan. 16, 1978), pp. 467-494
Published by: Royal Society
https://www.jstor.org/stable/79482
Page Count: 28

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Topics: Black holes, Greens function, Thermodynamic equilibrium, Coordinate systems, Spacetime, Boundary conditions, Mathematical vectors, Infinity, Scalars
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Black Holes and Thermal Green Functions
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Abstract

This paper concerns itself with the possibility of thermal equilibrium between a black hole and a heat bath implied by Hawking's discovery of black hole emission. We argue that in an isolated box of radiation, for sufficiently high energy density a black hole will condense out. We introduce thermal Green functions to discuss this equilibrium and are able to extend the original arguments, that the equilibrium is possible based on fields interacting solely with the external gravitational field, to the case when mutual and self interactions are included.
Proceedings of the Royal Society of London. Series A, Mathematical and Physical Sciences © 1978 Royal Society