On the Thermodynamics of Gravitational Radiation

TL;DR

This paper explores the thermodynamics of gravitational radiation in Bondi-Sachs space-time, deriving an equation of state and proposing a quantum energy model for gravitons similar to electromagnetic radiation.

Contribution

It introduces a novel thermodynamic framework for gravitational radiation and proposes a quantum energy for gravitons proportional to the cubic frequency.

Findings

Energy density depends quadratically on temperature

Derived an equation of state for gravitational radiation

Proposed a graviton energy proportional to the cube of frequency

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.