Does Einstein's relationE=mc 2arise from the metric?

Details Does Einstein's relationE=mc 2arise from the metric? Does Einstein's relationE=mc 2arise from the metric?

Apr 1989

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1989ap%26ss.154..153s&link_type=abstract

Astrophysics and Space Science, Volume 154, Issue 1, pp.153-156

Astronomy and Astrophysics

Astrophysics

1

Scientific paper

In this Letter we propose to consider the ‘four-energy-space’ whose ‘coordinates’ are composed as follows: (i) the ‘coordinate’ ɛ0 refers to the internal energy of the body (it is involved as an unknown function of the rest-energy and the kinetic energy of the body), and (ii) the ‘coordinates’ ɛ1, ɛ2, ɛ3 relate to the presence of gravitational, electromagnetic, and thermal energy at the location of the body respectively. We involve yet the proper energy interval dɛ2 by analogy to the four-interval ds 2 in general relativity. From such ‘metric field’ we calculate the ‘Ricci tensor’ in the simplest case. In addition, we require its form to be the same one as that considered by Schwarzschild. Comparing both solutions we obtain Einstein's relationE=mc 2.

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