Novel Brans-Dicke Wormhole Solutions in Non-Vacuum Spacetimes

TL;DR

This paper derives new static spherically symmetric wormhole solutions within Brans-Dicke theory considering anisotropic matter, demonstrating that such wormholes can exist without violating key energy conditions.

Contribution

It introduces a new class of exact Brans-Dicke wormhole solutions with anisotropic matter, analyzing energy conditions and parameter constraints for their physical viability.

Findings

Wormhole solutions satisfy energy conditions at the throat and throughout spacetime.

Constraints on Brans-Dicke parameters ensure regular, non-singular wormhole geometries.

Solutions include cases with zero and nonzero redshift functions.

Abstract

In the present study we search for a new class of wormhole solutions in the framework of Brans-Dicke (BD) theory in the presence of anisotropic matter distribution. Considering a linear equation of state (EoS) between radial pressure and energy density profile we find exact static spherically symmetric solutions to the BD field equations which represent wormhole configurations. The solutions we obtain include both cases with zero and nonzero redshift functions, for which, the conditions on wormhole geometry together with the weak (WEC) and null (NEC) energy conditions put constraints on model parameters such as, the BD coupling and EoS parameters. These constraints also depend on other model parameters such as, the value of BD scalar field and energy density at the wormhole throat. The regularity of the obtained solutions is verified by calculating the Kretschmann scalar in order to ensure that curvature singularities are absent in the wormhole spacetime. We then find that BD wormholes in the presence of anisotropic matter can exist without violating NEC and WEC, either at the throat or across the entire spacetime.