Newman-Janis Ansatz for rotating wormholes

TL;DR

This paper explores the Newman-Janis ansatz to generate and analyze rotating wormhole solutions in General Relativity, addressing the challenge of modeling interior solutions for rotating black holes and wormholes.

Contribution

It introduces new classes of exact interior solutions for rotating fluids and wormholes using the Newman-Janis ansatz, advancing methods to match interior and exterior spacetime solutions.

Findings

Derived independent classes of rotating fluid solutions

Presented solutions describing rotating wormholes

Enhanced understanding of interior solutions in rotating spacetimes

Abstract

A central problem in General Relativity is obtaining a solution to describe the source's interior counterpart for Kerr black hole. Besides, determining a method to match the interior and exterior solutions through a surface free of predefined coordinates remains an open problem. In this work, we present the ansatz formulated by Newman-Janis to generate solutions to the Einstein field equation inspired by the mentioned problems. We present a collection of independent classes of exact interior solutions of the Einstein equation describing rotating fluids with anisotropic pressures. Furthermore, we will elaborate on some obtained solutions by alluding to rotating wormholes.