Generalized Ellis-Bronikov traversable wormholes in $f(R)$ gravity with anisotropic dark matter

TL;DR

This paper explores generalized Ellis-Bronikov traversable wormholes within $f(R)$ gravity, supported by anisotropic dark matter models, analyzing their energy conditions and comparing solutions across different dark matter scenarios.

Contribution

It introduces a framework for analyzing Ellis-Bronikov wormholes in $f(R)$ gravity with anisotropic dark matter, including specific models and energy condition analysis.

Findings

Energy conditions vary with dark matter models

Certain wormhole solutions satisfy energy conditions under specific models

Feasibility of wormholes depends on dark matter and gravity modifications

Abstract

This paper studies generalized Ellis-Bronikov (E-B) traversable wormholes in $f(R)$ extended gravity. We assume that these wormholes are supported by anisotropic dark matter (DM) according to the most often used phenomenological models, namely those of Navarro-Frenk-White (NFW), Thomas-Fermi (T-F), and Pseudo-isothermal (PI). Initially, we obtain the field equations in a general scenario of $f(R)$ theories in the metric formalism for the static and spherically symmetric Morris-Thorne spacetime. Then we particularize to a $f(R)$ model with power-law, including the Starobinky modified gravity. Following, we analyze the energy conditions which are not dependent on the DM models (Null and Weak Energy Conditions -- NEC and WEC) and those which are model-dependent (Strong and Dominant Energy Conditions SEC and DEC). Finally, we compare some E-B wormhole solutions and the mentioned DM models, discussing the feasibility of the wormhole-dark matter system in different scenarios.