Gravitational waves in the presence of a cosmological constant
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Gravitational waves in the presence of a cosmological constant

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Gravitational waves in the presence of a cosmological constant

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dc.contributor.author Bernabeu Alberola, José
dc.contributor.author Espriu, Domènec
dc.contributor.author Puigdomènech, Daniel
dc.date.accessioned 2016-05-04T07:48:59Z
dc.date.available 2016-05-04T07:48:59Z
dc.date.issued 2011
dc.identifier.uri http://hdl.handle.net/10550/53352
dc.description.abstract We derive the effects of a non-zero cosmological constant Λ on gravitational wave propagation in the linearized approximation of general relativity. In this approximation we consider the situation where the metric can be written as gμν=ημν+hΛμν+hWμν, hΛ,Wμν<<1, where hΛμν is the background perturbation and hWμν is a modification interpretable as a gravitational wave. For Λ≠0 this linearization of Einstein equations is self-consistent only in certain coordinate systems. The cosmological Friedmann-Robertson-Walker coordinates do not belong to this class and the derived linearized solutions have to be reinterpreted in a coordinate system that is homogeneous and isotropic to make contact with observations. Plane waves in the linear theory acquire modifications of order Λ√, both in the amplitude and the phase, when considered in FRW coordinates. In the linearization process for hμν, we have also included terms of order O(Λhμν). For the background perturbation hΛμν the difference is very small but when the term hWμνΛ is retained the equations of motion can be interpreted as describing massive spin-2 particles. However, the extra degrees of freedom can be approximately gauged away, coupling to matter sources with a strength proportional to the cosmological constant itself. Finally we discuss the viability of detecting the modifications caused by the cosmological constant on the amplitude and phase of gravitational waves. In some cases the distortion with respect to gravitational waves propagating in Minkowski space-time is considerable. The effect of Λ could have a detectable impact on pulsar timing arrays.
dc.language.iso eng
dc.relation.ispartof Physical Review D, 2011, vol. 84, num. 6, p. 063523
dc.rights.uri info:eu-repo/semantics/openAccess
dc.source Bernabeu Alberola, José; Espriu, Domènec; Puigdomènech, Daniel (2011) Gravitational waves in the presence of a cosmological constant Physical Review D 84 6 063523
dc.subject Física
dc.title Gravitational waves in the presence of a cosmological constant
dc.type info:eu-repo/semantics/article
dc.date.updated 2016-05-04T07:48:59Z
dc.identifier.doi http://dx.doi.org/10.1103/PhysRevD.84.063523
dc.identifier.idgrec 069144

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