Generalised Ellis–Bronnikov wormholes embedded in warped braneworld background and energy conditions

Sharma, V.; Ghosh, Suman

doi:10.1140/epjc/s10052-021-09789-z

Cited by 17 publications

(7 citation statements)

References 83 publications

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“…Quasinormal modes, echoes and some other aspects of 4D-GEB spacetimes is reported in [43]. We recently suggested a further generalisation [65] where the 4D-GEB geometry is embedded in a five-dimensional warped spacetime and showed that energy conditions are satisfied even for m = 2 i.e. a novel 5D-EB geometry.…”

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confidence: 87%

“…Though some recent research on wormholes embedded in higher-dimensional spacetime has been published [84][85][86][87][88][89], warped braneworld models have not been examined. We showed in [65] that a GEB (and EB) spacetime embedded in 5D warped bulk (5D-WWEB) model meets the energy conditions. As a follow-up, we analysed the timelike trajectories in these spacetimes in detail in [90].…”

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confidence: 99%

“…The geometric and curvature quantities for both the 5D-WGEB and 4D-GEB spacetimes have been discussed in detail in [65]. Interested reader is requested to go through that article.…”

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confidence: 99%

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Geodesic Congruences in 5D Warped Ellis-Bronnikov Spacetimes

Sharma¹,

Ghosh²

2022

Preprint

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We study the timelike geodesic congruences in the generalized Ellis-Bronnikov spacetime (4D-GEB) and in recently proposed 5D model where a 4D-GEB is embedded in a warped geometry (5D-WGEB) and conduct a comparative study. Analytical expressions of ESR variables (for 4D geometries) are found which reveal the role of the wormhole parameter.In more general 4D and 5D scenarios geodesic equation, geodesic deviation equation and Raychaudhury equations are solved numerically. The evolution of cross-sectional area of the congruences of timelike geodesics (orthogonal to the geodesic flow lines) projected on 2D-surfaces yield an interesting perspective and shows the effects of the wormhole parameter and growing/decaying warp factors. Presence of warping factor triggers rotation or accretion even in the absence of initial congruence rotation. Presence of rotation in the congruence is also found to be playing a crucial role which we discuss in detail. I. INTRODUCTIONEinstein and Rosen introduced the concept of wormholes, as early as in 1935 [1], which generate 'short-cuts' in spacetime and allow 'apparently faster than light' travel [2][3][4][5][6] between two distinct spacetime points, dubbed as the Einstein-Rosen bridge. Wheeler, later, referred these solutions as 'wormholes ' [7]. It was soon realised that the wormhole solutions do not form a stable structure-it's 'throat' closes up too quickly when subjected to even tiny perturbation [8][9][10][11]. Morris and Thorne showed that one can get a 'traversable' wormhole solution by threading exotic form of matter (matter with negative energy density that violates null energy condition (NEC)) at or near the throat [2,12]. Remarkably, the concept of exotic matter (such as dark energy, dark matter and phantom energy) is found to be useful in explaining several cosmological observations such as: the late time accelerated expansion of the universe, behaviour of the galactic rotation curves and the mass discrepancy in clusters of galaxies [13]. It seems that the natural habitat for such matter would be of quantum origin. However, it has been noted that approaches using quantum

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confidence: 87%

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confidence: 99%

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Geodesic Congruences in 5D Warped Ellis-Bronnikov Spacetimes

Sharma¹,

Ghosh²

2022

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“…In particular the quasinormal modes were studied. Also, this metric was recently studied in the context of the braneworld, where the authors in [63] embedding this solutions in a five dimensional warp braneworld and this brings the possibility to the weak energy condition being satisfied. The stability of these generalized solutions considering axial gravitational perturbations was made in [64].…”

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confidence: 99%

Generalized Ellis-Bronnikov wormholes in asymptotically safe gravity

Nilton¹,

Furtado²,

Alencar³

et al. 2022

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In this paper we investigate the presence of exotic matter and the energy conditions of the generalized Ellis-Bronnikov solutions proposed in [61], a generalization of the Ellis-Bronnikov spacetime that has two parameters defining it (n and r t ) in the context of asymptotically safe gravity (ASG). These generalized solutions was a attempt to solve the problem of exotic matter, and we investigate if the ASG cured these problems.Further, as pointed in [62],these generalized solutions needs an extra matter beyond phantom to exist. Therefore we investigated if the ASG brings what kind of matter these extra matter can be. For this, we have choose the models that use the Ricci scalar, squared Ricci and the Kretschmann scalar to define the antiscreening function. We found that we have corrections at

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“…In this regard, several candidates have been proposed in the literature, for instance, wormholes in Einstein-Gauss-Bonnet theory [41], static wormhole solution for higher-dimensional gravity in vacuum [42], wormholes on braneworld [43,44,45,46], thin accretion disks in wormhole geometries [47], wormhole geometries in f (R)modified theories of gravity [48,49,50,52,52,53], wormhole models in f (R, T ) gravity theory [54,55], and some recent studies (see the ref. [56,57,58,59,60,61]). Furthermore, energy conditions play a significant role in the matter profiles of spacetime structure.…”

Section: Introductionmentioning

confidence: 99%

Generalised Ellis-Bronnikov Wormholes in $f(R)$ Gravity

Sokoliuk,

Mandal,

Sahoo

et al. 2022

Preprint

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In this manuscript, we construct generalized Ellis-Bronnikov wormholes in the context of f (R) modified theories of gravity. We consider that the matter driving the wormhole satisfies the energy conditions so that it is the effective energy-momentum tensor containing the higher-order derivatives of curvature terms that violate the null energy condition. Thus, the gravitational fluid is interpreted by the higher-order derivatives of curvature terms to represent the wormhole geometries and is fundamentally different from its counter representation in general relativity. In particular, we explore the wormhole geometries by presuming various well-known forms of Lagrangian f (R). In addition, for the seek of completeness, we discuss modified Tolman-Oppenheimer-Volkov, volume integral quantifier, and total gravitational energy.

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Generalised Ellis–Bronnikov wormholes embedded in warped braneworld background and energy conditions

Cited by 17 publications

References 83 publications

Geodesic Congruences in 5D Warped Ellis-Bronnikov Spacetimes

Geodesic Congruences in 5D Warped Ellis-Bronnikov Spacetimes

Generalized Ellis-Bronnikov wormholes in asymptotically safe gravity

Generalised Ellis-Bronnikov Wormholes in $f(R)$ Gravity

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