Covariant gravity with Lagrange multiplier constraint

Details Covariant gravity with Lagrange multiplier constraint Covariant gravity with Lagrange multiplier constraint

2011-12-30

arxiv.org/abs/1201.0095v1

Physics

High Energy Physics

High Energy Physics - Theory

10 pages, to appear in the Proceedings of the QFEXT11 Benasque Conference

Scientific paper

We review on the models of gravity with a constraint by the Lagrange multiplier field. The constraint breaks general covariance or Lorentz symmetry in the ultraviolet region. We report on the $F(R)$ gravity model with the constraint and the proposal of the covariant (power-counting) renormalized gravity model by using the constraint and scalar projectors. We will show that the model admits flat space solution, its gauge-fixing formulation is fully developed, and the only propagating mode is (higher derivative) graviton, while scalar and vector modes do not propagate. The preliminary study of FRW cosmology indicates to the possibility of inflationary universe solution is also given.

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