publication . Other literature type . Article . Preprint . 2019

Tolman temperature gradients in a gravitational field

Matt Visser; Jessica Santiago;
Open Access
  • Published: 18 Feb 2019
  • Publisher: IOP Publishing
Tolman's relation for the temperature gradient in an equilibrium self-gravitating general relativistic fluid is broadly accepted within the general relativity community. However, the concept of temperature gradients in thermal equilibrium continues to cause confusion in other branches of physics, since it contradicts naive versions of the laws of classical thermodynamics. In this paper we discuss the crucial role of the universality of free fall, and how thermodynamics emphasises the great distinction between gravity and other forces. To do so we will present an argument given by Maxwell and apply it to an electro-thermal system, concluding with an reductio ad a...
free text keywords: General Physics and Astronomy, General Relativity and Quantum Cosmology, Condensed Matter - Statistical Mechanics, Temperature gradient, Thermal equilibrium, General relativity, Physics, Gravitational field, Universality (philosophy), Special relativity, Branches of physics, Theoretical physics, Reductio ad absurdum
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37 references, page 1 of 3

Phys. Rev. 36 (1930) no.12, 1791. [5] R. C. Tolman, \On the extension of thermodynamics to

United States of America, 14 # 3 (1928), pp. 268-272. [6] R. C. Tolman, \Thermodynamics and Relativity. I",

Science 77 #1995 (24 March 1933), pp. 291{298. [7] R. C. Tolman, \Thermodynamics and Relativity. II",

Science 77 #1996 (31 March 1933), pp. 313{317. [8] J. Clerk Maxwell, \On the dynamical theory of gases",

Magazine and Journal of Science 35 (1868) 215{216. [9] J. Clerk Maxwell, Theory of heat,

(Longmans, Green and Company, London, 1902) [10] V. P. Frolov and A. Zelnikov,

(Oxford University Press, Oxford, 2011). [11] W. Israel, \Thermo eld dynamics of black holes,"

Phys. Lett. A 57 (1976) 107.

doi:10.1016/0375-9601(76)90178-X [12] G. Abreu and M. Visser, \Tolman mass, generalized

Phys. Rev. Lett. 105 (2010) 041302


37 references, page 1 of 3
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