Free fall in modified symmetric teleparallel gravity

Autor:	Lemos, Nivaldo A.
Rok vydání:	2024
Předmět:	General Relativity and Quantum Cosmology High Energy Physics - Theory
Druh dokumentu:	Working Paper
Popis:	The status of the equivalence principle in modified symmetric teleparallel gravity is examined. In this theory, minimum length geodesics are distinct from autoparallel geodesics, that is, the ``shortest'' paths are not the ``straightest'' paths. We show that a standard argument that singles out metric geodesics in general relativity does not apply in modified symmetric teleparallel gravity. This is because the latter theory does not obey the equivalence principle in the sense of Weinberg. We argue, however, that the structure of the theory makes it inevitable that a freely falling test particle follows a shortest path, a geodesic of the metric. The geodesic equation that governs the motion of a freely falling test particle involves the Levi-Civita connection, not some other connection obtained by solving the connection field equations of the theory. This also has bearing on whether, under appropriate conditions, modified symmetric teleparallel gravity is fully equivalent to general relativity. Comment: 9 pages; to appear in General Relativity and Gravitation
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2412.15805 Zobrazit plný text záznamu View this record from Arxiv