The Einstein equation and the energy density of the gravitational field

Physics – Mathematical Physics

Scientific paper

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Scientific paper

We give a derivation of the Einstein equation for gravity which employs a
definition of the local energy density of the gravitational field as a
symmetric second rank tensor whose value for each observer gives the trace of
the spatial part of the energy-stress tensor as seen by that observer. We give
a physical motivation for this choice using light pressure.

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