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arxiv: 0803.1684 · v1 · submitted 2008-03-11 · 🧮 math-ph · math.DG· math.MP

The Einstein equation and the energy density of the gravitational field

classification 🧮 math-ph math.DGmath.MP
keywords densityeinsteinenergyequationfieldgivegravitationalobserver
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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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