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… 

Tolman temperature gradients in a gravitational field

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

Kinetic formulation of Tolman–Ehrenfest effect: Non-ideal fluids in Schwarzschild and Kerr space-times

A review of the original thermodynamic formulation of the Tolman–Ehrenfest effect prescribing the temperature profile of uncharged fluid at thermal equilibrium forming stationary configurations in

On the Connections between Thermodynamics and General Relativity

In this thesis, the connections between thermodynamics and general relativity are explored. We review the concept of gravitationally induced temperature gradients in equilibrium states, first

Diffeomorphism symmetries near a timelike surface in black hole spacetime

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

Symmetries near a generic timelike surface in black hole spacetime

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

Evading the trans-Planckian problem with Vaidya spacetimes

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

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

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

References

SHOWING 1-10 OF 52 REFERENCES

Tolman temperature gradients in a gravitational field

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

Entropy of a box of gas in an external gravitational field $-$ revisited

Earlier it was shown that the entropy of an ideal gas, contained in a box and moving in a gravitational field, develops an area scaling when it approaches the horizon of a static, spherically

Ideal gas in a strong gravitational field: Area dependence of entropy

We study the thermodynamic parameters like entropy, energy etc. of a box of gas made up of indistinguishable particles when the box is kept in various static background spacetimes having a horizon.

On the Weight of Heat and Thermal Equilibrium in General Relativity

In accordance with the special theory of relativity all forms of energy, including heat, have inertia and hence in accordance with the equivalence principle also have weight. The purpose of the

Acoustic propagation in fluids: an unexpected example of Lorentzian geometry

It is a deceptively simple question to ask how acoustic disturbances propagate in a non--homogeneous flowing fluid. If the fluid is barotropic and inviscid, and the flow is irrotational (though it

Gravity’s universality: The physics underlying Tolman temperature gradients

We provide a simple and clear verification of the physical need for temperature gradients in equilibrium states when gravitational fields are present. Our argument will be built in a completely

Acoustic geometry for general relativistic barotropic irrotational fluid flow

‘Acoustic spacetimes’, in which techniques of differential geometry are used to investigate sound propagation in moving fluids, have attracted considerable attention over the last few decades. Most

THERMODYNAMICS AND RELATIVITY.

TLDR
The subject for the tenth memorial lecture, the classical principles of thermodynamics were given their most complete and comprehensive expression and the extensions to these classical principles which have since been made necessary by Einstein's discovery of the special and general theories of relativity.

New form of the Kerr solution

A new form of the Kerr solution is presented. The solution involves a time coordinate which represents the local proper time for free-falling observers on a set of simple trajectories. Many physical
...