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      A simple fully conformal solution of Einstein's gravitational equations and the agreement of its implications with astrophysical data

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      distances and redshifts, gravitation, gamma-ray burst, quasars, cosmological parameters
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            Abstract

            Another cosmological redshift mechanism could exist in general relativity, as is differences in the global metric field gμν between the radiation source in the past, and the observer in the present, known as gravitational redshift in massive stars. In this paper, we present a fully conformal global metric model with time scaling that would lead to the above alternative interpretation of the cosmological redshift. It is based on a relatively simple global solution of Einstein's gravitational equations without the cosmological term, and the analysis also shows other interesting astrophysical implications. The model naturally solves the problem of critical density and spatial flatness, as well as the problem of cosmological redshift in the spectra of distant astrophysical sources, and the problem of Olbers' and Seeliger's paradox. At the same time, it replaces the strict causal horizon principle with a much softer formulation-the region of the practically observable universe. Confrontation with astrophysical data provides interesting agreement with the spatial distribution of astrophysical radiation sources such as γ-ray bursts and quasars. However, probably the most important consequence is the new, generalized formulation of Hubble's law z(r) = (exp(Hr/c)-1), which shows good agreement R 2 ≈ 0.9824 with experimental data even for very distant sources. The paper also physically justifies in principle the modification of Newton's law of gravity for infinite space proposed by Seeliger. The modifying exponential term exp(-Hr/c) is uniquely quantified by the Hubble parameter and the speed of light.

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            Author and article information

            Journal
            ScienceOpen Preprints
            ScienceOpen
            1 March 2023
            Affiliations
            [1 ] 1Nanotechnology Centre, 2Centre for Advanced Innovation Technologies, 3Faculty of Materials Science and Technology, VSB – Technical University of Ostrava, 17. listopadu 15/2172, Ostrava, 708 00, Czech Republic;
            Author notes
            Author information
            https://orcid.org/0000-0001-9796-0005
            Article
            10.14293/S2199-1006.1.SOR-.PPW1OL3.v1
            10087353-996f-4afb-9de6-7d797626e15b

            This work has been published open access under Creative Commons Attribution License CC BY 4.0 , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Conditions, terms of use and publishing policy can be found at www.scienceopen.com .

            History
            : 1 March 2023
            Categories

            Data sharing not applicable to this article as no datasets were generated or analysed during the current study.
            Astronomy & Astrophysics,Physics
            gravitation,quasars,gamma-ray burst,cosmological parameters,distances and redshifts

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