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For static matter in a gravitational field, different conventions for equilibrium local temperature exist in the classic physics literature.
P. Romatschke, Analytic Transport from Weak to Strong Coupling in the O(N) model , Phys. Rev. D 100
1905
Earlier work this paper cites.
R. C. Tolman, On the Weight of Heat and Thermal Equilibrium in General Relativity , Phys. Rev. 35
1930
Earlier work this paper cites.
R. C. Tolman, Relativity, Thermodynamics, and Cosmology . Oxford, 1934
1934
Earlier work this paper cites.
C. Eckart, The thermodynamics of irreversible processes. III. Relativistic theory of the simple fluid , Phys. Rev. 58
1940
Earlier work this paper cites.
F. Reif, Fundamentals of Statistical and Thermal Physics . McGraw-Hill, 1965
1965
Earlier work this paper cites.
N. L. Balazs and J. M. Dawson, On thermodynamic equilibrium in a gravitational field , Physica 31
1965
Earlier work this paper cites.
S. Weinberg, Gravitation and Cosmology . John Wiley & Sons, 1972
1972
Earlier work this paper cites.
L. D. Landau and E. M. Lifshitz, Statistical Physics, Part I . Pergamon, 1980
1980
Earlier work this paper cites.
N. Nakazawa and T. Fukuyama, On the Energy Momentum Tensor at Finite Temperature in Curved Space-time , Nucl. Phys. B 252
1985
Earlier work this paper cites.
L. D. Landau and E. M. Lifshitz, Fluid Mechanics . Pergamon, 1987
1987
Earlier work this paper cites.
J. S. Dowker and J. P. Schofield, High Temperature Expansion of the Free Energy of a Massive Scalar Field in a Curved Space , Phys. Rev. D 38
1988
Cited alongside, same era.
P. S. Gribosky, J. F. Donoghue and B. R. Holstein, The Stability of Hot Curved Space , Annals Phys. 190
1989
Cited alongside, same era.
2008
Cited alongside, same era.
2008
Cited alongside, same era.
A. Buchel and M. Paulos, Relaxation time of a CFT plasma at finite coupling , Nucl. Phys. B 805
2012
Later among the works it cites.
G. D. Moore and K. A. Sohrabi, Thermodynamical second-order hydrodynamic coefficients , JHEP 11
2012
Later among the works it cites.
2012
Later among the works it cites.
2014
Later among the works it cites.
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2008
Cited alongside, same era.
P. Romatschke and D. T. Son, Spectral sum rules for the quark-gluon plasma , Phys. Rev. D80
2009
Cited alongside, same era.
V. Frolov and A. Zelnikov, Introduction to Black Hole Physics . Oxford, 2011
2011
Cited alongside, same era.
2011
Cited alongside, same era.
2011
Cited alongside, same era.
2012
Cited alongside, same era.
J. C. Maxwell, The Theory of Heat . Longmans, Green, and Co., 1871
Cited in the paper.
2014
Later among the works it cites.
2017
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P. Kovtun and A. Shukla, Kubo formulas for thermodynamic transport coefficients , JHEP 10
2018
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2019
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J. Santiago and M. Visser, Tolman temperature gradients in a gravitational field , Eur. J. Phys. 40
2019
Later among the works it cites.