Nonsymmetric gravity theories: Inconsistencies and a cure

Jun, 1992
34 pages
Published in:
  • Phys.Rev.D 47 (1993) 1541-1556
e-Print:
Report number:
  • IHES-P-92-36,
  • BRX-TH-324,
  • ADP-92-180-M5

Citations per year

1993200120092017202401234567
Abstract: (arXiv)
Motivated by the apparent dependence of string σ\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.
  • gravitation: model
  • model: geometrical
  • field theory: tensor
  • field theory: massive
  • massive: field theory
  • expansion: background
  • ghost