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

TITLE=Traversable Finslerian wormholes supported by phantom energy

JOURNAL=Frontiers in Physics

VOLUME=10

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=<p>This paper supplements the article (Eur. Phys. J. C 76: 246, 2016) by extending some 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) <italic>p</italic><sub><italic>r</italic></sub> = <italic>ωρ</italic> and three different shape functions, ii) a linear relationship between radial and tangential pressure as <italic>p</italic><sub><italic>t</italic></sub> = <italic>np</italic><sub><italic>r</italic></sub> with two different redshift functions and iii) a specific density profile with a linear equation of state <italic>p</italic><sub><italic>r</italic></sub> = <italic>ωρ</italic>. It is found that all these wormholes are violating null energy condition (NEC) signifying that the throats are opened by exotic matters. Since the equation of state parameters, <italic>ω</italic> or <italic>ω</italic><sub><italic>r</italic></sub> = <italic>p</italic><sub><italic>r</italic></sub>/<italic>ρ</italic> for all the solutions are <inline-formula id="inf1"><mml:math id="m1" xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mo>&lt;</mml:mo><mml:mo>−</mml:mo><mml:mn>1</mml:mn></mml:math></inline-formula>, the corresponding exotic matter is none other than the phantom energy. Further, the two solutions in Case ii) are not asymptotically flat since <inline-formula id="inf2"><mml:math id="m2" xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:msub><mml:mrow><mml:mi>lim</mml:mi></mml:mrow><mml:mrow><mml:mi>r</mml:mi><mml:mo>→</mml:mo><mml:mi>∞</mml:mi></mml:mrow></mml:msub><mml:mrow><mml:mo stretchy="false">[</mml:mo><mml:mrow><mml:mi>b</mml:mi><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mi>r</mml:mi></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow><mml:mo>/</mml:mo><mml:mi>r</mml:mi></mml:mrow><mml:mo stretchy="false">]</mml:mo></mml:mrow><mml:mo>↛</mml:mo><mml:mn>0</mml:mn></mml:math></inline-formula>. To make it asymptotically flat we matched it with the Schwarzschild vacuum.</p>