Proposed Method of Combining Continuum Mechanics With Einstein Field Equations

Piotr Ogonowski

doi:10.20944/preprints202206.0221.v2

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preprints.org > physical sciences > particle and field physics > doi: 10.20944/preprints202206.0221.v2

Preprint Article Version 2 Preserved in Portico This version is not peer-reviewed

Proposed Method of Combining Continuum Mechanics With Einstein Field Equations

Piotr Ogonowski

Version 1 : Received: 14 June 2022 / Approved: 15 June 2022 / Online: 15 June 2022 (10:16:18 CEST)
Version 2 : Received: 27 June 2022 / Approved: 27 June 2022 / Online: 27 June 2022 (14:30:11 CEST)
Version 3 : Received: 30 June 2022 / Approved: 1 July 2022 / Online: 1 July 2022 (12:37:08 CEST)
Version 4 : Received: 11 July 2022 / Approved: 11 July 2022 / Online: 11 July 2022 (09:41:10 CEST)
Version 5 : Received: 17 July 2022 / Approved: 18 July 2022 / Online: 18 July 2022 (10:56:25 CEST)
Version 6 : Received: 14 August 2022 / Approved: 16 August 2022 / Online: 16 August 2022 (05:24:45 CEST)
Version 7 : Received: 15 September 2022 / Approved: 16 September 2022 / Online: 16 September 2022 (07:11:49 CEST)
Version 8 : Received: 3 November 2022 / Approved: 3 November 2022 / Online: 3 November 2022 (07:03:12 CET)
Version 9 : Received: 28 November 2022 / Approved: 29 November 2022 / Online: 29 November 2022 (03:59:30 CET)
Version 10 : Received: 15 December 2022 / Approved: 16 December 2022 / Online: 16 December 2022 (04:30:07 CET)

A peer-reviewed article of this Preprint also exists.

Ogonowski, P. Proposed Method of Combining Continuum Mechanics with Einstein Field Equations. International Journal of Modern Physics D 2023, doi:10.1142/s0218271823500104. Ogonowski, P. Proposed Method of Combining Continuum Mechanics with Einstein Field Equations. International Journal of Modern Physics D 2023, doi:10.1142/s0218271823500104.

Abstract

The article proposes an amendment to the relativistic continuum mechanics which introduce the relationship between density tensors and the curvature of spacetime. The resulting formulation of a symmetric stress-energy tensor for a system with an electromagnetic field, leads to the solution of Einstein Field Equations indicating a relationship between the electromagnetic field tensor and the metric tensor. In flat Minkowski spacetime, the vanishing four-divergence of this stress-energy tensor expresses relativistic Cauchy's momentum equation, leading to the emergence of new force densities which can be further developed and parameterized to obtain known interactions.

Keywords

General relativity; Cosmology; Continuum mechanics; Fluid dynamics; Field theory; Electrodynamics; Hamiltonian mechanics

Subject

Physical Sciences, Particle and Field Physics

Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Comments (1)

Comment 1

Received: 27 June 2022
Commenter: Piotr Ogonowski
Commenter's Conflict of Interests: Author

Comment: The reasoning between equations (2.10) and (2.22) was clarified and shown on the example of energy density. The Discussion section has been expanded and a bibliographic entry has been added. A slight correction of the abstract has been introduced.

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