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On the Einstein-Maxwell field equations

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Abstract

Starting with the Einstein-Maxwell field equations in general relativity we construct the general differential equations governing the components of the metric tensor. We do this in a fashion completely analogous to that which we follow in Einstein-Infeld-Hoffmann and Einstein-Infeld theory. These equations allow us to findh if in various orders. An answer to our problem up to the first relativistic corrections is a computational work to find4 h 00, since the other terms2 h 00,2 h αβ and3 h 0α are as in a pure gravitational case. On the other hand, using the defined Einstein-Maxwell tensor, we give the equations of motion of two charged particles in the 0th order; also, the generalization is given in the case ofn particles.

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Author notes

  1. Demetrios D. Dionysiou

    Present address: Dept. of Mathematics, Hellenic Air Force Academy, Dekelia-Attica, Greece

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  1. Dept. of Theoretical Physics, University of Patras, Greece

    Demetrios D. Dionysiou

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  1. Demetrios D. Dionysiou
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Dionysiou, D.D. On the Einstein-Maxwell field equations. Astrophys Space Sci 73, 295–305 (1980). https://doi.org/10.1007/BF00642408

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  • DOI: https://doi.org/10.1007/BF00642408

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