Evolving wormhole solutions in f(R,T)=αR^m+βT gravity are shown to satisfy the null, weak, strong, and dominant energy conditions for tuned parameters, avoiding exotic matter at the throat.
$f(R)$ gravity solutions for evolving wormholes
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abstract
Scalar-tensor $f(R)$ theory of gravity is considered in the framework of a simple inhomogeneous space-time model. In this we use the reconstruction technique to look for possible evolving wormhole solutions within viable $f(R)$ gravity formalism. These $f(R)$ models are then constrained so that they are consistent with existing experimental data. Energy conditions related to the matter threading the wormhole are analysed graphically and are in general found to obey the null energy conditions (NEC) in regions around the throat, while in the limit $f(R)=R,$ NEC can be violated at large in regions around the throat.
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Investigating Evolving Wormholes in $f(R,T)$ Gravity
Evolving wormhole solutions in f(R,T)=αR^m+βT gravity are shown to satisfy the null, weak, strong, and dominant energy conditions for tuned parameters, avoiding exotic matter at the throat.