Abstract

Natural horizonless object and its astrophysical signatures have been proposed in various aspects. In this paper, the traversable wormhole solutions are investigated for Einstein’s field equations with cosmological constant. Using redshift function Φ(r)and shape function b(r)as Φ(r)=−1r2and b(r)=r0log(r+1)log(r0+1)in the static and spherically symmetric metric of wormholes, the spherical regions are determined, where the energy conditions are satisfied for positive value of cosmological constant. Further, horizonless compact objects with light rings (or photon spheres) are becoming more popular in recent years for numerous motives. We observed that a horizonless object such as a traversable wormhole can have a photon sphere outside the throat. So, the photon spheres are detected due to the effect of strong gravitational lensing. Furthermore, the deflection angle is found to diverge for the impact parameter corresponding to the photon sphere.

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