Comments on the Unification of Electromagnetism and Gravitation through "Generalized Einstein manifolds"

Details Comments on the Unification of Electromagnetism and Gravitation through "Generalized Einstein manifolds" Comments on the Unification of Electromagnetism and Gravitation through "Generalized Einstein manifolds"

1998-01-19

arxiv.org/abs/gr-qc/9801062v1

J.Geom.Phys.25:346-348,1998

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

2 pages, no figures, plain Latex, to appear in J Geom & Phys

Scientific paper

10.1016/S0393-0440(98)00003-5

H. Akbar-Zadeh has recently proposed (J Geom Phys 17 (1995) 342) a new geometric formulation of Einstein-Maxwell system with source in terms of what are called "Generalized Einstein manifolds". We show that, contrary to the claim, Maxwell equations have not been derived in this formulation and that, the assumed equations can be identified only as source-free Maxwell equations in the proposed geometric set up. A genuine derivation of source-free Maxwell equations is presented within the same framework. We draw a conclusion that the proposed unification scheme can pertain only to source-free situations.

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