Metric symmetry by design in general relativity

Autor:	Toth, Viktor T.
Rok vydání:	2024
Předmět:	General Relativity and Quantum Cosmology
Druh dokumentu:	Working Paper
DOI:	10.1088/1361-6382/ad9f15
Popis:	The usual derivation of Einstein's field equations from the Einstein--Hilbert action is performed by silently assuming the metric tensor's symmetric character. If this symmetry is not assumed, the result is a new theory, such as Einstein's attempted Unified Field Theory or Moffat's Nonsymmetric Gravitational Theory. Explicitly enforcing the constraint by means of a Lagrange-multiplier term restores Einstein's field equations, but the multiplier appears as an additional, unconstrained antisymmetric term. We briefly discuss the possible significance of this term with respect to a nonvanishing cosmological angular momentum, a sourced spin current, the nonsymmetric nature of the Einstein pseudotensor characterizing the energy-momentum of the gravitational field, and possible implications on attempts to obtain a quantum theory of gravity. Comment: 6 pages, accepted for publication in CQG
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2412.10607 Zobrazit plný text záznamu View this record from Arxiv