A class of traversable wormholes in the Starobinsky-like [formula omitted] gravity with anisotropic dark matter

Abstract

This paper studies generalized Ellis–Bronikov (E–B) traversable wormholes in f(R) extended gravity. We assume that these objects are supported by anisotropic dark matter (DM) according to the most often used phenomenological models, with specific profile densities, 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 regarding the static and spherically symmetric Morris–Thorne spacetime. Then we detail a f(R) model that obeys a power-law, which includes the Starobinky modified gravity as a particular case. Following, we analyze the energy conditions which do not depend 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 analyzed DM models, discussing the feasibility of the wormhole-dark matter system in different scenarios.