Preprint Article Version 3 Preserved in Portico This version is not peer-reviewed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.v3). Al-Fadhli, M.B. Extended General Relativity for a Curved Universe. Preprints 2020, 2020100320 (doi: 10.20944/preprints202010.0320.v3).

Abstract

The Planck Legacy recent 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 greater than 99%. Although General Relativity performs accurately in the present universe where spacetime is almost flat, its lost boundary term and the need of dark matter/energy might indicate its incompleteness. By utilising the Einstein–Hilbert action, this letter presents new extended field equations considering pre-existing universal curvatures and boundary contributions. The extended field equations are inclusive of Einstein field equations in addition to the boundary and the conformal curvature terms, which could remove the singularities from the theory.

Subject Areas

General Relativity; Curved Universe

Comments (1)

Comment 1
Received: 6 November 2020
Commenter: Mohammed Al-Fadhli
Commenter's Conflict of Interests: Author
Comment: Dear Editor, 

I hope you are doing very well 

This version includes expanded mathematical derivations and a simulation case study

Much appreciated 

Kind regards,
Mohammed
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