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Lagrange formulation of the symmetric teleparallel gravity

Muzaffer Adak·Mestan Kalay·Ozcan Sert
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Abstract

We develop a symmetric teleparallel gravity model in a space-time with only the non-metricity is nonzero, in terms of a Lagrangian quadratic in the non-metricity tensor. We present a detailed discussion of the variations that may be used for any gravitational formulation. We seek Schwarzschild-type solutions because of its observational significance and obtain a class of solutions that includes Schwarzschild-type, Schwarzschild-de Sitter-type and Reissner-Nordström-type solutions for certain values of the parameters. We also discuss the physical relevance of these solutions.

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Muzaffer Adak, Mestan Kalay, Ozcan Sert. 2006-02-06. Lagrange formulation of the symmetric teleparallel gravity. https://doi.org/10.1142/s0218271806008474

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