1205.5151 (Naveen K. Singh)

Unimodular Constraint on global scale Invariance    [PDF]

Naveen K. Singh

The global scale invariance along with the unimodular gravity in the vacuum is studied in this paper. The global scale invariant gravitational action which follows the unimodular general coordinate transformations is considered without invoking any scalar field. The possible solutions for the gravitational potential under linear field approximation for the allowed values of the introduced parameters of the theory are discussed. The modified solution has additional corrections along with the Schwarzschild solution. A comparative study of unimodular theory with conformal theory is also presented. Furthermore, the cosmological solution is studied and it is shown that the unimodular constraint preserve the de Sitter solution.

View original: http://arxiv.org/abs/1205.5151