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Cited by 498

The DOI matches its Crossref record; 10 of the 10 references it cites were found in a registry or an index.

Relation between physical and gravitational geometry

Open access
Bekenstein, Jacob D.·1993·Physical Review D
DOI 10.1103/physrevd.48.3641
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Abstract

The appearance of two geometries in a single gravitational theory is familiar. Usually, as in the Brans-Dicke theory or in string theory, these are conformally related Riemannian geometries. Is this the most general relation between the two geometries allowed by physics? We study this question by supposing that the physical geometry on which matter dynamics takes place could be Finslerian rather than just Riemannian. An appeal to the weak equivalence principle and causality then leads us to the conclusion that the Finsler geometry has to reduce to a Riemann geometry whose metric, the physical metric, is related to the gravitational metric by a generalization of the conformal transformation involving a scalar field.

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Metadata

Authors
Bekenstein, J. D.
Venue
Physical Review D
Publisher
American Physical Society (APS)
Published
1993-10-15
Volume
48
Issue
8
Pages
3641-3647
ISSN
0556-2821 (ISSN-L)
DOI
10.1103/physrevd.48.3641
OpenAlex
W2092963173
Cited by
498
References
10
FWCI
2.40
Type
journal article
Language
en
Open access
green

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