Nonanalytic metric in the presence of gravitomagnetic monopoles

TL;DR

This paper explores how gravitomagnetic monopoles induce nonanalytic metrics, affecting curvature tensors and potentially offering a new perspective on the cosmological constant problem.

Contribution

It introduces a nonanalytic metric framework influenced by gravitomagnetic monopoles and proposes a novel approach to the cosmological constant issue.

Findings

Gravitomagnetic monopoles lead to nonanalytic metrics.

Dual curvature tensors are analyzed in this context.

Potential link between gravitomagnetic monopoles and the cosmological constant.

Abstract

The nonanalytic property of metric resulting from the presence of gravitomagnetic monopoles is considered. The curvature tensors, dual curvature tensors, dual Einstein tensor (and hence the gravitational field equation of gravitomagnetic matter) expressed in terms of nonanalytic metric are analyzed. It is shown that the spinor gravitomagnetic monopole may be one of the potential origins of the cosmological constant. An alternative approach to the cosmological constant problem is thus proposed based on the concept of gravitomagnetic monopole.