New Features of Extended Wormhole Solutions in the Scalar Field Gravity Theories

TL;DR

This paper introduces new features of wormhole solutions in scalar field gravity, extending known solutions with additional parameters and analyzing their physical implications, including potential rotation effects.

Contribution

It presents an extended class of asymptotically flat wormhole solutions using a modified Matos-Nunez algorithm, revealing new parameters and their physical interpretations.

Findings

Extended wormhole solutions with parameters a and δ;

Parameter a can be interpreted as a rotation parameter;

Wormhole solutions exhibit unique geodesic and Sagnac effects.

Abstract

The present paper reports interesting new features that wormhole solutions in the scalar field gravity theory have. To demonstrate these, we obtain, by using a slightly modified form of the Matos-Nunez algorithm, an extended class of asymptotically flat wormhole solutions belonging to Einstein minimally coupled scalar field theory. Generally, solutions in these theories do not represent traversable wormholes due to the occurrence of curvature singularities. However, the Ellis I solution of the Einstein minimally coupled theory, when Wick rotated, yields Ellis class III solution, the latter representing a singularity-free traversable wormhole. We see that Ellis I and III are not essentially independent solutions. The Wick rotated seed solutions, extended by the algorithm, contain two new parameters a and \delta;. The effect of the parameter a on the geodesic motion of test particles reveals some remarkable features. By arguing for Sagnac effect in the extended Wick rotated solution, we find that the parameter a can indeed be interpreted as a rotation parameter of the wormhole. The analyses reported here have wider applicability in that they can very well be adopted in other theories, including in the string theory.