Preprint Article Version 2 Preserved in Portico This version is not peer-reviewed

Extended General Relativity for a Curved Universe

Version 1 : Received: 15 October 2020 / Approved: 15 October 2020 / Online: 15 October 2020 (11:47:59 CEST)
Version 2 : Received: 18 October 2020 / Approved: 19 October 2020 / Online: 19 October 2020 (10:43:06 CEST)
Version 3 : Received: 5 November 2020 / Approved: 6 November 2020 / Online: 6 November 2020 (13:11:37 CET)

How to cite: Al-Fadhli, M.B. Extended General Relativity for a Curved Universe. Preprints 2020, 2020100320 (doi: 10.20944/preprints202010.0320.v2). Al-Fadhli, M.B. Extended General Relativity for a Curved Universe. Preprints 2020, 2020100320 (doi: 10.20944/preprints202010.0320.v2).

Abstract

The recent Planck Legacy release revealed the presence of an enhanced lensing amplitude in the cosmic microwave background, which endorses the early universe positive curvature with a confidence level exceeding 99%. Although general relativity performs accurately in the present universe where spacetime is almost flat, the necessity of dark matter/energy and the lost boundary term might be signs of its incompleteness. Utilising Einstein–Hilbert action, I present extended field equations considering the pre-existing universal curvatures. The new extended field equations are inclusive of Einstein field equations in addition to the boundary term and the conformal curvature term contributions.

Subject Areas

General Relativity; Curved Universe

Comments (1)

Comment 1
Received: 19 October 2020
Commenter: Mohammed Al-Fadhli
Commenter's Conflict of Interests: Author
Comment:
Dear Editor, 

I hope you are doing very well and I do appreciate your continued support

This version includes refining of the mathematical derivations 

Lots of thanks

Kind regards,
Mohammed
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