The metric of extended Einstein equation and Schwarzschild solution in six dimensions

IWTCP-2; NCTP-39

Lien, Phan Hong^1 ; Phat, Tran Huu^2 ; Van Chung, Ha^3

Le Qui Don Academy of Technology, 236 Hoang Quoc Viet, Hanoi, Viet Nam^1

Vietnam Atomic Energy Institute, 59 Ly Thuong Kiet, Hanoi, Viet Nam^2

Hanoi National University of Education, 136 Xuan thuy, Hanoi, Viet Nam^3

关键词: Compactification;    Einstein equations;    Extra dimensions;    Hierarchy problem;    Mass operator;    Randall-Sundrum;    Schwarzschild;    Warped spaces;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/627/1/012007/pdf
DOI  :  10.1088/1742-6596/627/1/012007

来源: IOP

【 摘 要 】

The metric of a warped space-time with two extra dimensions is established by means of the Einstein equations in six dimensions and the compactification of two extra dimensions on a square. It is shown that at every among two fixed points our manifold reduces to the five-dimensional Randall - Sundrum space-time and the hierarchy problem could be solved. The Schwarzschild solutions have been extended in six dimensions. We also proposed an equation for the mass operator generated from extra dimensional coordinates.