Generalized electromagnetic energy-momentum tensor and scalar curvature of space at the location of charged particle

TL;DR

This paper introduces a generalized electromagnetic energy-momentum tensor within Einstein's equations, revealing significant changes in scalar curvature at charged particle locations, including potential sign reversal, with implications for gravitational-electromagnetic interactions.

Contribution

It proposes a new form of electromagnetic energy-momentum tensor and demonstrates its impact on scalar curvature at charged particles, extending previous theoretical frameworks.

Findings

Scalar curvature at charges is significantly altered.

The scalar curvature may change sign with the new tensor.

Implications for gravitational and electromagnetic theory are discussed.

Abstract

We consider the Einstein equation, where the common electromagnetic energy momentum tensor is replaced by its generalized equivalent as suggested in our earlier paper (A.L. Kholmetskii et al. Phys. Scr. 83, 055406 (2011)). Now we show that with this new electromagnetic energy-momentum tensor, the scalar curvature at the location of charges is significantly altered in comparison with the common result, and it even may change its sign. Some implications of the obtained results are discussed.