Comparison between Three Paradigms of General Relativity
Autor: | Mudhahir Al Ajmi, Kareema Al Hosni |
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Jazyk: | angličtina |
Rok vydání: | 2021 |
Předmět: |
Physics
Gravity (chemistry) Spacetime 010308 nuclear & particles physics General relativity Equations of motion torsion Curvature 01 natural sciences symbols.namesake Theoretical physics General Relativity and Quantum Cosmology 0103 physical sciences Minkowski space Mach's principle symbols Dark energy 010306 general physics non-metricity |
Zdroj: | Physical Sciences Forum Volume 2 Issue 1 |
ISSN: | 2673-9984 |
DOI: | 10.3390/ECU2021-09280 |
Popis: | Gravity formulated as a classical gauge theory is based on the Mach principle in terms of curvature scalar R by A. Einstein. The original idea of Einstein limits the gravity to act as a curvature in spacetime. However, there exist other possible classical fields such as torsion and non-metricity. The aim of this paper is to make a compatible comparison between three paradigms: Gravity as curvature via Einstein–Hilbert action, Teleparallel Gravity (TEGR) and Coincidence Gravity (CGR). In TEGR, a flat spacetime is considered as well as an asymmetric connection metric. In CGR, gravity is constructed in an equally flat, tortionless spacetime, which is ascribed to non-metricity. The strength and weakness of each formulation is tested in the framework of a homogeneous and isotropic cosmological background. Mainly, the equivalence between GR and TEGR is examined at the level of equation of motion. Furthermore, we study the interactions between dark energy, dark matter and radiation, and the stability of these models is explored. The implications of the interaction were tested in both early and late epochs of the universe. It has been found that mostly there is a similarity of description of the evolution of the universe provided by GR and TEGR, while CGR always showed different description. |
Databáze: | OpenAIRE |
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