English

Einstein's Energy-Free Gravitational Field

General Relativity and Quantum Cosmology 2008-02-03 v3

Abstract

We show that Einstein's gravitational field has zero energy, momentum, and stress. This conclusion follows directly from the gravitational field equations, in conjunction with the differential law of energy-momentum conservation T;νμν=0 T^{\mu\nu}_{;\nu} = 0 . Einstein rejected this conservation law despite the fact that it is generally covariant. We trace his rejection to a misapplication of Gauss' divergence formula. Finally, we derive the formula which pertains to energy-momentum conservation.

Keywords

Cite

@article{arxiv.gr-qc/9512008,
  title  = {Einstein's Energy-Free Gravitational Field},
  author = {Kenneth Dalton},
  journal= {arXiv preprint arXiv:gr-qc/9512008},
  year   = {2008}
}

Comments

5 pages, LaTeX. Note: Divergence formula (13) is clarified