Preprint Article Version 5 Preserved in Portico This version is not peer-reviewed

Extended General Relativity for a Conformally 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)
Version 4 : Received: 1 January 2021 / Approved: 4 January 2021 / Online: 4 January 2021 (11:21:08 CET)
Version 5 : Received: 17 June 2021 / Approved: 17 June 2021 / Online: 17 June 2021 (14:08:56 CEST)

How to cite: Al-Fadhli, M.B. Extended General Relativity for a Conformally Curved Universe. Preprints 2020, 2020100320 (doi: 10.20944/preprints202010.0320.v5). Al-Fadhli, M.B. Extended General Relativity for a Conformally Curved Universe. Preprints 2020, 2020100320 (doi: 10.20944/preprints202010.0320.v5).

Abstract

The recent Planck Legacy release confirmed the presence of an enhanced lensing amplitude in the cosmic microwave background (CMB) power spectra. Notably, this amplitude is higher than that estimated by the lambda cold dark matter model (ΛCDM), which endorses a positively curved early Universe with a confidence level greater than 99%. Although General Relativity (GR) performs accurately in the local/present Universe where spacetime is almost flat, its lost boundary term, incompatibility with Quantum Mechanics and the necessity of dark matter/energy could indicate its incompleteness. By utilising the Einstein–Hilbert action, this letter presents extended field equations by considering the pre-existing/background curvature and the boundary contribution. The extended field equations consist of Einstein field equations with a conformal transformation feature in addition to the boundary term, which can remove singularities, satisfy a conformal invariance theory and facilitate its quantisation.

Supplementary and Associated Material

https://sciforum.net/paper/view/9291: Conference presentation of the main findings

Subject Areas

General Relativity; String Theory

Comments (1)

Comment 1
Received: 17 June 2021
Commenter: Mohammed Al-Fadhli
Commenter's Conflict of Interests: Author
Comment: Dear Editor, 

I hope you are very well

This version includes developed mathematical derivations of the extended field equations and discussions regarding the possible links to String theory 


Kind regards,
Mohammed
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