A study of Levi-Civita’s cylindrical solutions in f(R,ϕ) gravity

This manuscript is dedicated to discussing the cylindrical symmetric solutions in a well-known gravity, namely the f ( R , ϕ ) theory of gravity, where R stands for Ricci scalar and ϕ represents the scalar potential. For our current study, f ( R , ϕ ) = ( 1 + ξ λ 2 ϕ 2 ) R gravity model is used to f...

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Bibliographic Details
Published in:European physical journal plus 2021-11, Vol.136 (11), p.1146, Article 1146
Main Author: Malik, Adnan
Format: Article
Language:English
Subjects:
Applied and Technical Physics
Atomic
Complex Systems
Condensed Matter Physics
Cosmology
Dark energy
Exact solutions
Gravitation theory
Gravity
Investigations
Mathematical and Computational Physics
Molecular
Optical and Plasma Physics
Partial differential equations
Physics
Physics and Astronomy
Regular Article
Spacetime
Theoretical
Theory of relativity
Universe
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Summary:This manuscript is dedicated to discussing the cylindrical symmetric solutions in a well-known gravity, namely the f ( R , ϕ ) theory of gravity, where R stands for Ricci scalar and ϕ represents the scalar potential. For our current study, f ( R , ϕ ) = ( 1 + ξ λ 2 ϕ 2 ) R gravity model is used to find the exact solutions of field equations. Furthermore, a well-known Levi-Civita solution by considering some parameters has been investigated. We exclusively worked out the expressions of density and pressure terms and analyzed them graphically. Energy conditions especially null energy conditions are examined while discussing the exact solutions of all these cases. It is concluded that the null energy conditions are violated for some specific regions, which is an indication of the existence of cylindrical wormholes. The charming and fascinating feature of this task is two-dimensional and three-dimensional investigation.
ISSN:2190-5444
2190-5444
DOI:10.1140/epjp/s13360-021-02129-w