The Quadratic Symmetric Teleparallel Gravity in Two-Dimensions
M. Adak, T. Dereli
TL;DR
This paper introduces a two-dimensional symmetric teleparallel gravity model based on a quadratic action in the non-metricity tensor, deriving field equations and exploring various solutions including conformally flat, static, and cosmological cases.
Contribution
It presents a novel 2D symmetric teleparallel gravity framework with explicit solutions, expanding the understanding of alternative gravity theories in lower dimensions.
Findings
Derived variational field equations for the model
Constructed a class of conformally flat solutions
Discussed static and cosmological solutions
Abstract
A 2D symmetric teleparallel gravity model is given by a generic 4-parameter action that is quadratic in the non-metricity tensor. Variational field equations are derived. A class of conformally flat solutions is given. We also discuss static and cosmological solutions.
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