Thermodynamical Metrics in General Relativity Theory

Espen Haug

doi:10.20944/preprints202403.0972.v1

Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Version 1 : Received: 16 March 2024 / Approved: 17 March 2024 / Online: 18 March 2024 (10:34:13 CET)

We demonstrate that multiple well-known metrics, such as the Schwarzschild metric and the extremal solution of the Reissner-Nordstr ̈om metric, can be expressed in what we will call thermodynamic form. These formulations appear to be valid for all Rs = ct growing black holes and, therefore, also within the framework of Rh = ct growing black hole cosmology. However, the metrics can also be applied to non-black hole gravitational objects as long as one calculates the CMB and Hawking temperature of the hypothetical black hole from the gravitational mass.

Thermodynamics, metrics, General relativity, Hawking temperature, CMB temperature, Planck scale, black holes.

Physical Sciences, Theoretical Physics

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Thermodynamical Metrics in General Relativity Theory

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