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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)
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)
Version 6 : Received: 18 November 2021 / Approved: 18 November 2021 / Online: 18 November 2021 (13:17:29 CET)
Version 7 : Received: 14 April 2022 / Approved: 14 April 2022 / Online: 14 April 2022 (12:28:49 CEST)
Version 8 : Received: 6 June 2022 / Approved: 6 June 2022 / Online: 6 June 2022 (12:05:33 CEST)
Version 9 : Received: 10 January 2023 / Approved: 12 January 2023 / Online: 12 January 2023 (02:02:53 CET)
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)
Version 6 : Received: 18 November 2021 / Approved: 18 November 2021 / Online: 18 November 2021 (13:17:29 CET)
Version 7 : Received: 14 April 2022 / Approved: 14 April 2022 / Online: 14 April 2022 (12:28:49 CEST)
Version 8 : Received: 6 June 2022 / Approved: 6 June 2022 / Online: 6 June 2022 (12:05:33 CEST)
Version 9 : Received: 10 January 2023 / Approved: 12 January 2023 / Online: 12 January 2023 (02:02:53 CET)
How to cite: Al-Fadhli, M.B. Extended General Relativity for a Curved Universe. Preprints 2020, 2020100320. https://doi.org/10.20944/preprints202010.0320.v3 Al-Fadhli, M.B. Extended General Relativity for a Curved Universe. Preprints 2020, 2020100320. https://doi.org/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.
Keywords
General Relativity; Curved Universe
Subject
Physical Sciences, Astronomy and Astrophysics
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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Commenter: Mohammed Al-Fadhli
Commenter's Conflict of Interests: Author
I hope you are doing very well
This version includes expanded mathematical derivations and a simulation case study
Much appreciated
Kind regards,
Mohammed