Cosmological wormholes in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>f</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mi>R</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:math>theories of gravity

Bahamonde, Sebastián; Jamil, Mubasher; Pavlović, Petar; Sossich, Marko

doi:10.1103/physrevd.94.044041

Cited by 84 publications

(46 citation statements)

References 53 publications

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“…They are useful both for simplification of differential equations and determination of integrable systems. In our context, the Noether Symmetry Approach is often used in modified and extended gravity theories for constraining the functional form of the Lagrangian densities f (R), f (T ), f (R, G ) etc., as well as finding solutions of the field equations from such point-like Lagrangians [7,[20][21][22][23][24][25].…”

Section: The Noether Symmetry Approachmentioning

confidence: 99%

Spherical and cylindrical solutions in f(T) gravity by Noether symmetry approach

2020

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We find exact solutions for f (T ) teleparallel gravity for the cases of spherically and cylindrically symmetric tetrads. The adopted method is based on the search for Noether symmetries of point-like Lagrangians defined in Jordan and Einstein frames. Constants of motion are used to reduce the dynamical system. We first consider the Lagrangian defined in the Jordan frame for a spherically symmetric tetrad and, by the help of two constants of motion, we eliminate a tetrad potential and integrate the other. The more complicated structure in the Einstein frame is also overcome by the same method. After that we obtain the Jordan frame Lagrangian for a general cylindrically symmetric tetrad. Following the same procedure adopted in the spherically symmetric case, we again obtain the tetrad potentials and then the exact solutions.

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Section: The Noether Symmetry Approachmentioning

confidence: 99%

Spherical and cylindrical solutions in f(T) gravity by Noether symmetry approach

2020

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“…Saiedi and Esfahani [60] studied null and weak energy conditions for wormholes with constant shape and redshift functions in f (R) gravity. Bahamonde et al [61] developed dynamical wormholes in f (R) gravity. Peter [62] computed wormhole solutions using different types of shape functions in f (R) gravity and studied traversable wormholes.…”

Section: Literature Surveymentioning

confidence: 99%

Traversable wormholes in $$R+\alpha R^n$$ gravity

Godani

Samanta

2020

Eur. Phys. J. C

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In this work, the study of traversable wormholes in f (R) gravity with the function f (R) = R + αR n , where α and n are arbitrary constants, is taken into account. The shape function b(r) = r exp(r−r 0 ) , proposed by Samanta et al. [71], is considered. The energy conditions with respect to both constant and variable redshift functions are discussed and the existence of wormhole solutions without presence of exotic matter is investigated.

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“…Following the arguments in Ref. [60] we generalize our solution (27) by introducing a Kerr-like metric which describes a rotating wormhole in BEC dark matter halo. The metric has the following form…”

Section: A Kerr-like Metric For Rotating Wormholesmentioning

confidence: 99%

On the possibility of wormhole formation in the galactic halo due to dark matter Bose–Einstein condensates

2019

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It has been recently claimed that dark matter could be in the form of a Bose-Einstein condensate (BEC) in order to explain the dynamics at large distances from the galactic center [Boehmer, Harko, JCAP 0706, 025 (2007)]. In this paper we explore the possibility of wormhole formation in galactic halos due to the dark matter BEC. In particular we have found a new wormhole solution supported by BEC dark matter using the expressions for the density profile of the BEC and rotation velocity along with the Einstein field equations to calculate the wormhole red shift function as well as the shape function. To this end, we show that for a specific choose of the central density of the condensates our wormhole solution satisfies the flare our condition. Furthermore we check the null, weak, and strong condition at the wormhole throat with a radius r 0 , and shown that in general the energy condition are violated by some arbitrary quantity at the wormhole throat. Using the volume integral quantifier, and choosing reasonable values of parameters we have calculate the amount of BEC exotic matter near the wormhole throat, such that the wormhole extends form r 0 to a a cut off radius situated at 'a . Moreover we have introduced a Kerr-like metric for a rotating BEC wormhole to study the effect of BEC dark matter on the Lense-Thirring precession frequencies. Namely, we have shown that the obtained precession frequencies lie within a range of typical quasi-periodic oscillations (QPOs).

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Cosmological wormholes inf(R)theories of gravity

Cited by 84 publications

References 53 publications

Spherical and cylindrical solutions in f(T) gravity by Noether symmetry approach

Spherical and cylindrical solutions in f(T) gravity by Noether symmetry approach

Traversable wormholes in $$R+\alpha R^n$$ gravity

On the possibility of wormhole formation in the galactic halo due to dark matter Bose–Einstein condensates

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