Exact Solution for the Massless Cylindrically Symmetric Scalar Field in General Relativity, With Cosmological Constant

This paper is devoted to investigate cylindrical solutions in mimetic gravity. The explicit forms of the metric of this theory, namely mimetic-Kasner (say) have been obtained. In this study we have noticed that the Kasner's family of exact solutions needs to be reconsidered under this type of modified gravity. A no-go theorem is proposed for the exact solutions in the presence of a cosmological constant.

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“…In GR, the LT family was generalized to the case with a massless scalar field φ = 0 by the following exact solution [61]:…”

Section: -Non Kasner Type Of the Exact Solutionsmentioning

confidence: 99%

Cylindrical solutions in mimetic gravity

Momeni

Myrzakulov

2016

Eur. Phys. J. C

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“…In GR, there is a general family of cylindrically symmetric solutions for Einstein-Hilbert action with cosmological constant, introduced independently by Linet [48] and Tian [49], abbreviated as LT. With scalar field, there is another extension of the LT family introduced in [50]. In this section we propose to The source of such solution can be a rod, thus it is appropriate to put the log Newtonian potential for u(r) = 2 3 log(cos(λr)).…”

Section: Solution With Cosmological Constant λmentioning

confidence: 99%

CYLINDRICAL SOLUTIONS IN MODIFIED f(T) GRAVITY

Houndjo

Momeni

Myrzakulov

2012

Int. J. Mod. Phys. D

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We investigate static cylindrically symmetric vacuum solutions in Weyl coordinates in the framework of f (T ) theory of gravity, where T is the torsion scalar. The set of modified Einstein equations is presented and the fourth coming equations are established. Specific physical expressions are assumed for the algebraic function f (T ) and solutions are obtained. Moreover, general solution is obtained with finite values of u(r) on the axis r = 0, and this leads to a constant torsion scalar. Cosmological constant is also introduced and its relation to Linet-Tian solution in GR is commented.

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“…In GR these constraints leads to a static cosmic string and also in metric f (R) gravity [22,23]. The resulting metric with new parameters (ζ, g 0 , .…”

Section: Exact Solutionsmentioning

confidence: 99%

Cosmic Strings in a Model of Non-relativistic Gravity

Momeni¹

2011

Int J Theor Phys

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Hořava proposed a non-relativistic renormalizable theory of gravitation, which is reduced to general relativity (GR) in large distances (infra-red regime (IR)). It is believed that this theory is an ultra-violet (UV) completion for the classical theory of gravitation. In this paper, after a brief review of some fundamental features of this theory, we investigate it for a static cylindrical symmetric solution which describes Cosmic string as a special case. We have also investigated some possible solutions, and have seen that how the classical GR field equations are modified for generic potential V (g). In one case there is an algebraic constraint on the values of three coupling constants. Finally as a pioneering work we deduce the most general cosmic string in this theory. We explicitly show that how the coupling constants distort the mass parameter of cosmic string. We deduce an explicit function for mass per unit length of the space-time as a function of the coupling constants. We compare this function with another which Aryal et al. (Phys. Rev. D 34:2263) have found in GR. Also we calculate the self-force on a massive particle near Hořava-Lifshitz straight string and we give a typical order for the coupling constant g 9 . This order of magnitude proposes a cosmological test for validity of this theory.

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Exact Solution for the Massless Cylindrically Symmetric Scalar Field in General Relativity, With Cosmological Constant

Abstract: In this article we present a new exact solution for scalar field with cosmological constant in cylindrical symmetry. Associated cosmological models is discussed. One of them describes a Cyclic universe.

Cited by 14 publications

References 20 publications

Cylindrical solutions in mimetic gravity

Cylindrical solutions in mimetic gravity

CYLINDRICAL SOLUTIONS IN MODIFIED f(T) GRAVITY

Cosmic Strings in a Model of Non-relativistic Gravity

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