On five-dimensional massive (bi-)gravity
arXiv:1612.08912 · doi:10.1088/1742-6596/865/1/012001
Abstract
Main results of our recent investigations on five-dimensional scenarios of massive (bi-)gravity will be summarized in this article. In particular, we will show how to construct higher dimensional massive graviton terms from the characteristic equation of square matrix, which is a consequence of the Cayley-Hamilton theorem. Then, we will show whether massive graviton terms of five-dimensional massive (bi-)gravity behave as effective cosmological constants for a number of physical metrics compatible with fiducial ones such as the Friedmann-Lemaitre-Robertson-Walker, Bianchi type I, and Schwarzschild-Tangherlini metrics. Finally, we will show the corresponding cosmological solutions for the five-dimensional massive (bi-)gravity.
13 pages, no figures, this is a brief summary of our recent works published in two papers 1602.05672 and 1604.07568. To appear in the Proceedings of the 41st National Conference on Theoretical Physics (NCTP) of Vietnam, Nha Trang, Vietnam, 1-4 Aug., 2016