On five-dimensional massive (bi-)gravity

41st Vietnam National Conference on Theoretical Physics

Do, Tuan Q.^1

Faculty of Physics, VNU University of Science, Vietnam National University, Hanoi 120000, Viet Nam^1

关键词: Cayley-hamilton theorem;    Characteristic equation;    Cosmological constants;    Higher-dimensional;    Massive graviton;    Schwarzschild;    Square matrices;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/865/1/012001/pdf
DOI  :  10.1088/1742-6596/865/1/012001

来源: IOP

【 摘 要 】

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.