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arXiv · 1612.08912

On five-dimensional massive (bi-)gravity

Tuan Q. Do
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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.

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Tuan Q. Do. 2016-12-28. On five-dimensional massive (bi-)gravity. https://doi.org/10.1088/1742-6596%2F865%2F1%2F012001

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