English

On the Thermodynamics of Gravitational Radiation

General Relativity and Quantum Cosmology 2023-08-10 v1

Abstract

This article deals with the thermodynamics of gravitational radiation arising from the Bondi-Sachs space-time. The equation of state found allows us to conclude that the dependence of the energy density on the temperature is a quadratic power of the latter. Such a conclusion is possible once the consequences of the first law of thermodynamics are analyzed. Then, in analogy to electromagnetic radiation, the same approach as used by Planck to obtain the quantum of energy of the gravitational radiation is proposed. An energy for the graviton proportional to the cubic frequency is found. The graviton is here understood as the quantum of gravitational energy.

Keywords

Cite

@article{arxiv.2308.05084,
  title  = {On the Thermodynamics of Gravitational Radiation},
  author = {S. C. Ulhoa and F. L. Carneiro and J. W. Maluf},
  journal= {arXiv preprint arXiv:2308.05084},
  year   = {2023}
}

Comments

10 pages