Radial deformation of the Kerr spacetime

TL;DR

This paper explores a radial deformation of the Kerr spacetime that results in wormholes formed by joined non-flat spacetimes, analyzing energy conditions and presenting exact anisotropic fluid solutions.

Contribution

It introduces a novel radial deformation of Kerr spacetime leading to wormholes and provides explicit energy-momentum tensor components and eigenvalues.

Findings

Wormholes can form from Kerr spacetime deformations.

Energy conditions are analyzed in detail.

The spacetime represents a family of anisotropic fluid solutions.

Abstract

A radial deformation of the Kerr metric is studied which leads to the appearance of wormholes in certain cases. {\bf These wormholes can be thought of as being formed by two distinct but identical asymptotically non-flat spacetimes joined at the throat}. The status of energy conditions are discussed in details. The components of the energy-momentum tensor of the spacetime and its eigenvalues are explicitly given. It is shown that the resulting spacetime, represents a family of exact anisotropic fluid solutions.