عنوان مجله
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INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS
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چکیده
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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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