Thermodynamic Properties of Spherically-Symmetric, Uniformly-Accelerated Reference Frames

Abstract

We aim to study the thermodynamic properties of the spherically symmetric reference frames with uniform acceleration, including the spherically symmetric generalization of Rindler reference frame and the new kind of uniformly accelerated reference frame. We find that, unlike the general studies about the horizon thermodynamics, one cannot obtain the laws of thermodynamics for their horizons in the usual approaches, despite that one can formally define an area entropy (Bekenstein-Hawking entropy). In fact, the common horizon for a set of uniformly accelerated observers is not always exist, even though the Hawking-Unruh temperature is still well-defined. This result indicates that the Hawking-Unruh temperature is only a kinematic effect, to gain the laws of thermodynamics for the horizon, one needs the help of dynamics. Our result is in accordance with those from the various studies about the acoustic black holes.

arXiv comment8 pages

References in corpus (10)

• Cosmological Constant - the Weight of the Vacuum
• Thermodynamics of Spacetime: The Einstein Equation of State
• Acoustic black holes: horizons, ergospheres, and Hawking radiation
• First Law of Thermodynamics and Friedmann Equations of Friedmann-Robertson-Walker Universe
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• Hawking radiation without black hole entropy
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• Temperature at Horizon in de Sitter Spacetime
• A New Kind of Uniformly Accelerated Reference Frames

Cited by in corpus (10)

• Thermodynamic structure of Lanczos-Lovelock field equations from near-horizon symmetries
• On Gravitational anomaly and Hawking radiation near weakly isolated horizon
• Static Observers in Curved Spaces and Non-inertial Frames in Minkowski Spacetime
• Fermat's Principle in Curved Space-time, No Emission from Schwarzschild Black Holes as Total Internal Reflection and Black Hole Unruh effect
• Some Theoretical Aspects of Quantum Mechanical Equations in Rindler Space
• Island of acoustic black hole in Schwarzschild spacetime
• Saha Equation in Rindler Space
• Time Dependent Rindler Hamiltonian Eigen States in Momentum Space
• The Propagation of de Broglie Waves in Rindler Space
• Motion of Massive Particles in Rindler Space and the Problem of Fall at the Centre