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On Possible Minimal Length Deformation of Metric Tensor, Levi-Civita Connection, and the Riemann Curvature Tensor
Published 2023-10-01“…We illustrate the impact of the minimal-length-induced quantum deformation on the classical geometrical objects of the general theory of relativity using the unit radius two-sphere example. …”
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62
Two fluid scenario for dark energy models in a Bianchi type I universe
Published 2014“…The aim of this research is to study the nature of the dark energy by considering its physical quantity known as equation of state parameter ωD = pD/pD that specifies the model for dark energy. The general theory of relativity has the important role in explaining the dynamics of the universe as gravity governs the largest scale structure of the universe. …”
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63
ON DISCRETE STRUCTURE OF GEOLOGIC MEDIUM AND CONTINUAL APPROACH TO MODELING ITS MOVEMENTS
Published 2016-09-01“…However, it is not an obstacle to developing continuum models of such movements in the same way as, for instance, the adequacy of the continuum general theory of relativity is not denied in view of the discrete-hierarchical structure of the Universe.The key requirements to a model include its applicability, testability, confirmability/deniability of its predictions in the investigated space-time scale, and compliance with conservation laws. …”
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Unimodular Theory of Gravity in Light of the Latest Cosmological Data
Published 2023-10-01“…We found the best-fit value of parameter <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>ξ</mi><mo>=</mo><mn>6.03</mn><mo>±</mo><mn>0.40</mn></mrow></semantics></math></inline-formula>, which deviates slightly from 6, for which the theory becomes the standard general theory of relativity. We observed a small deviation in the value of the Hubble constant (<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>H</mi><mn>0</mn></msub><mo>=</mo><mn>72.6</mn><mo>±</mo><mn>3.5</mn></mrow></semantics></math></inline-formula> km s<sup>−1</sup> Mpc<sup>−1</sup>) in the UG model compared with the standard <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mo>Λ</mo></semantics></math></inline-formula>CDM model (<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>H</mi><mn>0</mn></msub><mo>=</mo><mn>72.2</mn><mo>±</mo><mn>1.2</mn></mrow></semantics></math></inline-formula> km s<sup>−1</sup> Mpc<sup>−1</sup>). …”
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8.962 General Relativity, Spring 2006
Published 2020“…8.962 is MIT's graduate course in general relativity, which covers the basic principles of Einstein's general theory of relativity, differential geometry, experimental tests of general relativity, black holes, and cosmology.…”
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The solar red-shift
Published 1961“…</p> <p>Part of the general red shift of the Fraunhofer lines was explained when Einstein published his General Theory of Relativity, in which he predicted the Fraunhofer lines to be shifted to the red by an amount given by <sup>Δυ</sup>⁄<sub>υ</sub> = 2.12 × 10<sup>-6</sup>. …”
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Causality in Discrete Time Physics Derived from Maupertuis Reduced Action Principle
Published 2021-09-01“…Causality is preserved in classical physics as well as in special and general theories of relativity. Surprisingly, causality as a relationship between the cause and its effect is in neither of these theories considered a law or a principle. …”
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