Novel Brans-Dicke Wormhole Solutions in Non-Vacuum Spacetimes

Fuente: arXiv
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Autores principales: Ziaie, Amir Hadi, Sadeghnezhad, Naser, Jahan, Akbar
Formato: Preprint
Publicado: 2025
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author Ziaie, Amir Hadi
Sadeghnezhad, Naser
Jahan, Akbar
author_facet Ziaie, Amir Hadi
Sadeghnezhad, Naser
Jahan, Akbar
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2502_12043
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Novel Brans-Dicke Wormhole Solutions in Non-Vacuum Spacetimes
Ziaie, Amir Hadi
Sadeghnezhad, Naser
Jahan, Akbar
General Relativity and Quantum Cosmology
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.
title Novel Brans-Dicke Wormhole Solutions in Non-Vacuum Spacetimes
topic General Relativity and Quantum Cosmology
url https://arxiv.org/abs/2502.12043