A Type of Levi-Civita's Solution in Modified Gauss-Bonnet Gravity

Abstract

In this letter we obtain an exact solution for cylindrically symmetric modified Gauss Bonnet gravity. This metric is a generalization of the vacuum solution of the Levi-Civita in the general relativity. It describes an isotropic perfect fluid one parameter family of the gravitational configurations which can be interpreted as the exterior metric of a cosmic string. By setting the Gauss-Bonnet coupling parameter to zero, we recover the vacuum solution in the Einstein gravity as well.

5 pages, revtex4 format, Accepted for publication in CJP

References in corpus (8)

• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• Dark energy in modified Gauss-Bonnet gravity: late-time acceleration and the hierarchy problem
• Construction of cosmologically viable f(G) gravity models
• Modified gravity models of dark energy
• Cylindrical solutions in metric f(R) gravity
• On the Stability of a class of Modified Gravitational Models
• Exact Static Cylindrical Solution to Conformal Weyl Gravity
• Cylindrical solutions in braneworld gravity

Cited by in corpus (41)

• Exploring physical features of anisotropic strange stars beyond standard maximum mass limit in $f\left(R,\mathcal{T}\right)$ gravity
• Anisotropic Compact Stars in $f(G)$ Gravity
• Anisotropic strange star with Tolman-Kuchowicz metric under $f(R,T)$ gravity
• Regular black holes in $f(T)$ Gravity through a nonlinear electrodynamics source
• Anisotropic strange stars under simplest minimal matter-geometry coupling in the $f(R,\mathcal{T})$ gravity
• Finite-time Cosmological Singularities and the Possible Fate of the Universe
• Regular black holes in $f(R)$ gravity coupled to nonlinear electrodynamics
• Noether Symmetry Approach in $f(\mathcal{G},T)$ Gravity
• A periodic varying deceleration parameter in $f(R,T)$ gravity
• Magnetized strange quark model with Big Rip singularity in $f(R,T)$ gravity
• Regular black holes in $f(G)$ gravity
• LCDM Model in f(T) Gravity: Reconstruction, Thermodynamics and Stability
• Coincident f(Q) gravity: black holes, regular black holes and black bounces
• Generalization of Regular Black Holes in General Relativity to $f(R)$ Gravity
• Cosmic strings in $f\left(R,L_m\right)$ gravity
• Regular multihorizon black holes in $f(G)$ gravity with nonlinear electrodynamics
• Black-Bounce in $f(T)$ Gravity
• Born-Infeld and Charged Black Holes with non-linear source in $f(T)$ Gravity
• Phantom fluid wormhole in $f(R,T)$ gravity
• QCD ghost reconstruction of f(T) gravity in flat FRW universe
• Compact stellar models in modified gravity
• Cylindrical solutions in Mimetic gravity
• Spherical Accretion of Matter by Charged Black Holes on f(T) Gravity
• Gravitational Dust Collapse in $f(R)$ Gravity
• Energy Bounds in $f(R,G)$ Gravity with Anisotropic Background
• Cosmic string in gravity's rainbow
• Cosmological models with squared trace in modified gravity
• LRS Bianchi type-I bulk viscous cosmological models in $f(R,T)$ gravity
• Chaotic inflation in higher derivative gravity theories
• Generalized second law of thermodynamics in QCD ghost f(G) gravity
• Anisotropic Universe in $f(\mathcal{G},\text{T})$ Gravity
• Thermodynamics in a Modified Gravity Involving Higher-Order Torsion Derivative Terms
• Reconstructing $f(T)$ modified gravity from ECHDE and ECNADE models
• Finslerian extension of an anisotropic strange star in the domain of modified gravity
• Aspects of Some New Versions of Pilgrim Dark Energy in DGP Braneworld
• Generalized Teleparallel Theory
• Hybrid star within $f(\mathcal{G})$ gravity
• Realistic f(T) model describing the de Sitter epoch of the dark energy dominated universe
• Charged black hole solutions in $f(R,T)$ gravity coupled to nonlinear electrodynamics
• Phenomenological models of Universe with varying $G$ and $\Lambda$
• Static, Cylindrically Symmetric Spacetimes in the Coincident f(Q) Gravity