New conserved tensors and Brans-Dicke type field equation, using integrability condition
General Relativity and Quantum Cosmology
2022-01-21 v2
Abstract
We explore some new off-shell and on-shell conserved quantities for a scalar field in Minkowski space, using integrability condition. The off-shell conserved tensors are related to the kinematics of the field, while a linear combination of the off-shell and the on-shell conserved tensors ends up with the energy-momentum tensor for the scalar field. In the curved background, using Ricci and Bianchi identities, Brans-Dicke type field equations emerge, without requiring the principle of equivalence. Further, starting from the curvature scalar and using these identities, the field equations for modified gravity (Einstein-Hilbert action in the presence of higher-order terms) follows.
Cite
@article{arxiv.2105.13529,
title = {New conserved tensors and Brans-Dicke type field equation, using integrability condition},
author = {Abhik Kumar Sanyal and Bijan Modak and Manas Chakrabortty},
journal= {arXiv preprint arXiv:2105.13529},
year = {2022}
}
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14 pages, 0 figures