Static global monopoles in higher dimensional space time

TL;DR

This paper derives an exact solution for global monopoles in five-dimensional spacetime, demonstrating their gravitational attraction, the presence of a deficit solid angle, and exploring their properties within Lyra geometry.

Contribution

It provides the first exact solution for higher-dimensional global monopoles and analyzes their gravitational effects and geometric features.

Findings

Global monopoles exert attractive gravitational force.

The space around monopoles has a deficit solid angle.

Monopoles are studied within Lyra geometry framework.

Abstract

We present an exact solution around global monopole resulting from the breaking of a global S0(3) symmetry in a five dimensional space time. We have shown that the global monopole in higher dimensional space time exerts gravitational force which is attractive in nature. It is also shown that the space around global monopole has a deficit solid angle. Finally, we study monopole in higher dimensional space time within the framework of Lyra geometry.