Resonances in the transmission of massless scalar waves in a class of wormholes

Kar, Sayan; Minwalla, Shiraz; Mishra, Deepak; Sahdev, Deshdeep

doi:10.1103/physrevd.51.1632

Cited by 33 publications

(40 citation statements)

References 17 publications

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“…It would be interesting to search for special features of the transmission coefficient in more general types of wormholes. In particular, the existence of bound states (i.e.standing waves) for scalar waves was shown in [21]. If resonances with the same characteristics also exist in the case of electromagnetic waves, their position in what could be considered as the emission spectrum of the wormhole may give us information on the size of the throat and its shape [21].…”

Section: Discussionmentioning

confidence: 99%

Electromagnetic waves in a wormhole geometry

Bergliaffa

Hibberd

2000

Phys. Rev. D

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Section: Discussionmentioning

confidence: 99%

Electromagnetic waves in a wormhole geometry

Bergliaffa

Hibberd

2000

Phys. Rev. D

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“…If the Morris-Thorne conditions [7] necessary for the construction of a Lorentzian wormhole are considered then one finds that there is ample scope for various similar wormhole geometries to exist. Thus, a generalised version of the Ellis-Bronnikov wormhole geometry was suggested in [73] as a two-parameter (n and the throat radius b 0 ) family of Lorentzian wormholes. When the parameter n takes the value n = 2, we get back the Ellis-Bronnikov spacetime.…”

Section: The Family Of Ultra-static Spacetimesmentioning

confidence: 99%

“…The choice of the family of wormholes we make here is based on an earlier paper [73] where the well-known Ellis-Bronnikov spacetime [74][75][76][77] had been extended to provide a two-parameter family of spacetimes. We first show how this generalisation leads to a matter-stress energy which has (a) an energy condition violating part generated via a phantom scalar field and (b) another piece (of zero value for Ellis-Bronnikov) which satisfies the Averaged Null Energy Condition (ANEC) along radial null geodesics.…”

Section: Introductionmentioning

confidence: 99%

Revisiting a family of wormholes: geometry, matter, scalar quasinormal modes and echoes

2020

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We revisit a family of ultra-static Lorentzian wormholes which includes Ellis–Bronnikov spacetime as a special case. We first show how the required total matter stress energy (which violates the local energy conditions) may be split into a part due to a phantom scalar and another extra piece (which vanishes for Ellis–Bronnikov) satisfying the Averaged Null Energy Condition (ANEC) along radial null geodesics. Thereafter, we examine the effective potential for scalar wave propagation in a general setting. Conditions on the metric function, for which the effective potential may have double barrier features are written down and illustrated (using this class of wormholes). Subsequently, using numerous methods, we obtain the scalar quasinormal modes (QNMs). We note the behaviour of the QNMs as a function of n (the metric parameter) and $$b_0$$ b 0 (the wormhole throat radius). Thus, the shapes and sizes of the wormholes, governed by the metric parameter n and the throat radius $$b_0$$ b 0 are linked to the variation and the values of the QNMs. Finally, we demonstrate how, for large n, the time domain profiles exhibit, expectedly, the occurence of echoes. In summary, our results suggest that this family of wormholes may indeed be used as a template for further studies on the gravitational wave physics of exotic compact objects.

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“…Consulting the tables in [9] we conclude that only for n = 0, 1 we can have λ 0n to be negative. In general, the scattering problem for the Schroedinger-like equation has been analysed numerically in [10].…”

Section: Hypersurfacesmentioning

confidence: 99%

Generalized Raychaudhuri equations: Examples

Kar

1996

Phys. Rev. D

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Specific examples of the generalized Raychaudhuri Equations for the evolution of deformations along families of D dimensional surfaces embedded in a background N dimensional spacetime are discussed. These include string worldsheets embedded in four dimensional spacetimes and two dimensional timelike hypersurfaces in a three dimensional curved background. The issue of focussing of families of surfaces is introduced and analysed in some detail.

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Resonances in the transmission of massless scalar waves in a class of wormholes

Cited by 33 publications

References 17 publications

Electromagnetic waves in a wormhole geometry

Electromagnetic waves in a wormhole geometry

Revisiting a family of wormholes: geometry, matter, scalar quasinormal modes and echoes

Generalized Raychaudhuri equations: Examples

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