# Tolman-like temperature gradients in stationary spacetimes

@article{Santiago2018TolmanlikeTG, title={Tolman-like temperature gradients in stationary spacetimes}, author={Jessica Santiago and Matt Visser}, journal={Physical Review D}, year={2018} }

It is (or should be) well known that specification of a heat bath requires both a temperature and a 4-velocity, the rest frame of the heat bath. In static spacetimes there is a very natural and unique candidate for the 4-velocity of the heat bath, the normalized timelike Killing vector. However in stationary non-static spacetimes the situation is considerably more subtle, and several different "natural" 4-velocity fields suitable for characterizing the rest frame of a heat bath can be defined…

## 8 Citations

### Tolman temperature gradients in a gravitational field

- PhysicsEuropean Journal of Physics
- 2019

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…

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Recently symmetries of gravity and gauge fields in the asymptotic regions of spacetime have been shown to play vital role in their low energy scattering phenomena. Further, for the black hole…

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Hawking radiation, originally derived in the ray optics limit, exhibits the unfortunate trans-Planckian problem—a Hawking photon near spatial infinity, if back-tracked to the immediate vicinity of…

### Thermodynamic equilibrium in general relativity

- Physics
- 2019

The thermodynamic equilibrium condition for a static self-gravitating fluid in the Einstein theory is defined by the Tolman-Ehrenfest temperature law, $T{\sqrt {g_{00}(x^{i})}} = constant$, according…

### Thermodynamics of Hot Neutron Stars and Universal Relations

- PhysicsUniverse
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Over the last few years, the detection of gravitational waves from binary neutron star systems has rekindled our hopes for a deeper understanding of the unknown nature of ultradense matter. In…

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