On Plane Symmetric Domain Walls and Cosmic Strings in Bimetric Theory

Reddy, D. R. K.; Adhao, K.S.; Katore, S. D.

doi:10.1007/s10509-006-0954-3

Cited by 8 publications

(8 citation statements)

References 33 publications

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“…Recently, Reddy et al [17] have shown the non-existence of plane symmetric domain walls and cosmic strings in Rosen's [19] bimetric theory of gravitation. Here we have shown that axially symmetric thick domain walls and cosmic strings do not survive in Rosen's bimetric theory of gravitation.…”

Section: Discussionmentioning

confidence: 99%

“…In particular Mohanty et al [9] and Mohanty and Sahoo [8] have shown the non-existence of perfect fluid or mesonic perfect fluid models in bimetric theory while Reddy [15] has established the non-existence of Bianchi type string cosmologies in this theory. Recently, Reddy et al [17] have shown that plane symmetric domain walls and cosmic strings do not exist in bimetric theory. Inspite of the fact that a lot of work has been done, in this direction, it is evident from literature that there is need for further investigation which may unravel some of the hidden secrets of the theory.…”

Section: Introductionmentioning

confidence: 99%

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On Axially Symmetric Domain Walls and Cosmic Strings in Bimetric Theory

2007

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Section: Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

On Axially Symmetric Domain Walls and Cosmic Strings in Bimetric Theory

2007

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“…It also becomes important when some types of the topological effects are needed suddenly by assigning an independent metric. In the context of modified theories of gravity, cosmic strings are investigated in f (R) gravity [58,60], teleparallel theories [61][62][63], brane worlds [64], Kaluza-Klein models [65], Lovelock Lagrangians [66], Gauss-Bonnet [67][68][69], Born-Infeld [70,71], bimetric theories [72], non-relativistic models of gravity [73], scalar-tensor theories [74][75][76][77][78][79], Brans-Dicke theory [80][81][82][83][84][85], dilation gravity [86,87], non-minimally coupled models of gravity [88], Mimetic gravity [89] and, recently, in the Bose-Einstein condensate strings [90]. However, the cosmic string is still unexplored in gravity's rainbow setting.…”

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confidence: 99%

Cosmic string in gravity’s rainbow

Momeni

Upadhyay

Myrzakulov

et al. 2017

Astrophys Space Sci

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In this paper, we study the various cylindrical solutions (cosmic strings) in gravity's rainbow scenario. In particular, we calculate the gravitational field equations corresponding to energy-dependent background. Further, we discuss the possible Kasner, quasi-Kasner and non-Kasner exact solutions of the field equations. In this framework, we find that quasiKasner solutions can not be realized in gravity's rainbow. Assuming only time-dependent metric functions, we also analyse the time-dependent vacuum cosmic strings in gravity's rainbow, which are completely different than the other GR solutions. I. OVERVIEW AND MOTIVATIONA strong notion of an observer independent minimum length scale has been found in all theories of quantum gravity, for instance, in string theory [1], noncommutative geometry [2], loop quantum gravity [3,4] and Lorentzian dynamical triangulations [5][6][7][8]. Here we point out that the nascent GW astronomy [9] could help in discriminating among general relativity or alternative theories [10]. There is no harm to assume this minimum measurable length scale as the Planck scale. The mathematical ground of general theory of relativity is based on a smooth manifold which breaks down when energies of probe reaches the order of Planck energy [11,12].Keeping this point in mind, one may expect a radically new picture of spacetime, which includes departure from the standard relativistic dispersion relation. A departure from the standard dispersion relation indicates that the system incorporates a breaking of Lorentz invariance. * Electronic address:

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“…Reddy et al [26] have established the non-existence of axially symmetric cosmological model with domain walls and cosmic string. Sahoo [27] has shown that the spherically symmetric cosmological model did not exist in Rosen's bimetric theory of gravitation when the source of gravitation was either perfect fluid or massive string whereas the model did exist in scalar meson field.…”

Section: S D Katore R S Rane and K S Wankhadementioning

confidence: 99%

Bianchi type-I massive string magnetized barotropic perfect fluid cosmological model in bimetric theory

2011

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Bianchi type-I massive string cosmological model for perfect fluid distribution in the presence of magnetic field is investigated in Rosen's [Gen. Relativ. Gravit. 4, 435 (1973)] bimetric theory of gravitation. To obtain the deterministic model in terms of cosmic time, we have used the condition A = (BC) n , where n is a constant, between the metric potentials. The magnetic field is due to the electric current produced along the x-axis with infinite electrical conductivity. Some physical and geometrical properties of the exhibited model are discussed and studied.

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On Plane Symmetric Domain Walls and Cosmic Strings in Bimetric Theory

Cited by 8 publications

References 33 publications

On Axially Symmetric Domain Walls and Cosmic Strings in Bimetric Theory

On Axially Symmetric Domain Walls and Cosmic Strings in Bimetric Theory

Cosmic string in gravity’s rainbow

Bianchi type-I massive string magnetized barotropic perfect fluid cosmological model in bimetric theory

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