The Einstein equation and the energy density of the gravitational field
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🧮 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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