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Nonsymmetric Gravity Theories: Inconsistencies and a Cure | | T. Damour S. Deser J. McCarthy
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23 Jul 1992 | | Journal: | Phys.Rev. D47 (1993) 1541-1556 | | Subject: | gr-qc | | Affiliation: | IHES and DARC) S. Deser (Brandeis University) J. McCarthy (University of Adelaide | | Abstract: | Motivated by the apparent dependence of string $sigma$--models on the sum of spacetime metric and antisymmetric tensor fields, we reconsider gravity theories constructed from a nonsymmetric metric. We first show that all such "geometrical" theories homogeneous in second derivatives violate standard physical requirements: ghost-freedom, absence of algebraic inconsistencies or continuity of degree-of-freedom content. This no-go result applies in particular to the old unified theory of Einstein and its recent avatars. However, we find that the addition of nonderivative, ``cosmological’’ terms formally restores consistency by giving a mass to the antisymmetric tensor field, thereby transmuting it into a fifth-force-like massive vector but with novel possible matter couplings. The resulting macroscopic models also exhibit ``van der Waals’’-type gravitational effects, and may provide useful phenomenological foils to general relativity. | | Source: | arXiv, gr-qc/9207003 | | Services: | Forum | Review | PDF | Favorites | |
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