期刊
INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS
卷 55, 期 2, 页码 1145-1155出版社
SPRINGER/PLENUM PUBLISHERS
DOI: 10.1007/s10773-015-2756-2
关键词
Entropic force; Braneworld; Field equation
资金
- Research Institute for Astronomy & Astrophysics of Maragha (RIAAM), Iran
By bearing the Komar's definition for the mass, together with the entropic origin of gravity in mind, we find the Einstein field equations in (n + 1)-dimensional spacetime. Then, by reflecting the (4 + 1)-dimensional Einstein equations on the (3 + 1)-hypersurface, we get the Einstein equations onto the 3-brane. The corresponding energy conditions are also addressed. Since the higher dimensional considerations modify the Einstein field equations in the (3 + 1)-dimensions and thus the energy-momentum tensor, we get a relation for the Komar mass on the brane. In addition, the strongness of this relation compared with existing definition for the Komar mass on the brane is addressed.
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