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Time and Energy in Gravity Theory

Ivanhoe B. Pestov
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Abstract

A new concept of internal time (viewed as a scalar temporal field) is introduced which allows one to solve the energy problem in General Relativity. The law of energy conservation means that the total energy density of the full system of interacting fields (including gravitational field) does not vary with time, thus being the first integral of the system. It is demonstrated that direct introduction of the temporal field permits to derive the general covariant four dimensional Maxwell equations for the electric and magnetic fields from the equations of electromagnetic fields considering in General Relativity. It means that the fundamental physical laws are in full correspondence with the essence of time. Theory of time presented here predicts the existence of matter outside the time.

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Ivanhoe B. Pestov. 2003-08-22. Time and Energy in Gravity Theory. https://arxiv.org/abs/gr-qc/0308073

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