AUTHOR=Singh Ksh. Newton , Rahaman Farook , Deb Debabrata , Maurya S. K. 

TITLE=Traversable Finslerian wormholes supported by phantom energy

JOURNAL=Frontiers in Physics

VOLUME=Volume 10 - 2022

YEAR=2023

URL=https://www.frontiersin.org/journals/physics/articles/10.3389/fphy.2022.1038905

DOI=10.3389/fphy.2022.1038905

ISSN=2296-424X

ABSTRACT=This paper supplements the article (Eur. Phys. J. C 76: 246, 2016) by extending few more new wormhole solutions in the background of Finslerian geometry. { Here,} we present six more solutions by considering (i) a linear equation of state (EoS) $p_r=\omega \rho$ and three different shape functions, (ii) a linear relationship between radial and tangential pressure as $p_t=n p_r$ with two different redshift functions and (iii) a specific density profile with a linear EoS $p_r=\omega \rho$. It is found that all these wormholes are violating NEC signifying that the throats are opened by exotic matters. Since the EoS parameters, $\omega$ or $\omega_r=p_r/\rho$ for all the solutions are $<-1$, the corresponding exotic matter is { none} other than the phantom energy. Further, the two solutions in Case (ii) are not asymptotically flat since $\lim_{r \to \infty} [b(r)/r]\nrightarrow 0$. To make it asymptotically flat we matched it with the Schwarzschild vacuum.