Abstract
In this work, we explore wormhole solutions in $f(R,T)$ theory of gravity, where $R$ is the scalar curvature and $T$ is the trace of stress-energy tensor of matter. To investigate this, we consider static spherically symmetric geometry with matter contents as anisotropic, isotropic and barotropic fluids in three separate cases. By taking into account Starobinsky $f(R)$ model , we analyze the behavior of energy conditions for these different kind of fluids. It is shown that the wormhole solutions can be constructed without exotic matter in few regions of spacetime. We also give the graphical illustration of obtained results and discuss the equilibrium picture for anisotropic case only. It is concluded that the wormhole solutions with anisotropic matter are realistic and stable in this gravity.
Highlights
After Hubble’s theory of the expanding universe, current observations from Supernovae Type Ia and CMBR (Cosmic Microwave Background Radiation) [1,2,3] have confirmed the phenomenon of the accelerated expanding universe
It is taken into consideration that one may impose the principle of a modified Einstein field equation by an effective stress energy-momentum tensor threading the wormholes satisfying the energy conditions and the higher order curvature derivative terms can support the geometries of the non-standard wormholes
We have investigated whether the ordinary matter can support wormholes in f (R, T ) modified gravity
Summary
After Hubble’s theory of the expanding universe, current observations from Supernovae Type Ia and CMBR (Cosmic Microwave Background Radiation) [1,2,3] have confirmed the phenomenon of the accelerated expanding universe. Lobo and Oliveira [34] explained the fact that wormhole solutions can be formed without violation of energy conditions, i.e., WEC and NEC, in f (R) theory of gravity. They reconstructed f (R) by considering a trace-less fluid and equations of state for some particular shape function, to discuss the evolution of energy conditions. The wormhole geometries were studied in f (R, T ) gravity [38] by taking a particular equation of state (EoS) for the matter field into account They showed that an effective stress-energy is responsible for the violation of the NEC.
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