On metric transformations with a $U(1)$ gauge field - INSPIRE

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On metric transformations with a $U(1)$ gauge field

Nov 25, 2019

6 pages

Published in:

Phys.Rev.D 101 (2020) 8, 084044

Published: Apr 23, 2020

e-Print:

1911.10960 [gr-qc]

DOI:

10.1103/PhysRevD.101.084044

Report number:

YITP-19-108

View in:

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Abstract: (APS)

We study metric transformations including not just the field strength tensor of a U(1) gauge field but also its dual tensor. We first consider an arbitrary symmetric matrix built up with these two tensors in the metric transformation. It turns out the form of transformation reduces to a quite simple form on imposing the parity evenness of the transformed metric and by utilizing the Cayley-Hamilton theorem as well as other useful identities. Interestingly, the same form for the transformation was recently argued in the process of seeking for a generic metric transformation but without the inclusion of the dual tensor.

Note:

6 pages

General relativity, alternative theories of gravity

References(22)

Figures(0)

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