Global structure of Robinson-Trautman radiative space-times with cosmological constant

Bičák, Jiřı́; Podolský, Jiřı́

doi:10.1103/physrevd.55.1985

Cited by 36 publications

(49 citation statements)

References 33 publications

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“…32,33 The results proving the global existence and convergence of the solutions of the Robinson-Trautman equation can be taken over from the previous studies since Λ does not explicitly enter this equation. We have shown that, starting with arbitrary, smooth initial data at u = u 0 (see Fig.…”

Section: On Physical Interpretation Of Non-twisting Type N Solutions mentioning

confidence: 99%

Radiative Fields in Spacetimes With Minkowski and De Sitter Asymptotics

Bičák

Krtouš

2003

Recent Developments in Gravity

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The classical Bondi-Penrose approach to the gravitational radiation theory in asymptotically flat spacetimes is recalled and recent advances in the proofs of the existence of such spacetimes are briefly reviewed. We then mention the unique role of the boost-rotation symmetric spacetimes, representing uniformly accelerated objects, as the only explicit radiative solutions known which are asymptotically flat; they are used as test beds in numerical relativity and approximation methods. The main part of the review is devoted to the examples of radiative fields in the vacuum spacetimes with positive cosmological constant. Type N solutions are analyzed by using the equation of geodesic deviation. Both these and RobinsonTrautman solutions of type II are shown to approach de Sitter universe asymptotically. Recent work on the the radiative fields due to uniformly accelerated charges in de Sitter spacetime ("cosmological Born's solutions") is reviewed and the properties of these fields are discussed with a perspective to characterize general features of radiative fields near a de Sitter-like infinity. IntroductionAfter several important contributions to the gravitational radiation theory in the late 1950's and early 1960's by Pirani, Bondi, Robinson, Trautman and others, a landmark paper by Bondi et al 4 appeared in which radiative properties of isolated (spatially bounded) axisymmetric systems were studied along outgoing null hypersurfaces u = constant, with u representing a retarded time function. An ansatz was made that the asymptotically Minkowski metric along u = constant can be expanded in inverse powers * An extended version of the invited talk given by J. B. at the 10th Greek Relativity Meeting in Kallithea, Chalkidiki, May 2002. Secs. 1, 2, 4 and 6 are in part based on the reviews quoted as Refs. 1, 2 and 3.

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Section: On Physical Interpretation Of Non-twisting Type N Solutions mentioning

confidence: 99%

Radiative Fields in Spacetimes With Minkowski and De Sitter Asymptotics

Bičák

Krtouš

2003

Recent Developments in Gravity

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“…Extensions across the "Schwarzschild-like" future event horizon can only be made with a finite order of smoothness. These results were generalized in [7,8] to Robinson-Trautman vacuum spacetimes with cosmological constant. These cosmological solutions settle down to a Schwarzschild-(anti-)de Sitter solution at large times u.…”

Section: Introductionmentioning

confidence: 99%

Robinson-Trautman solution with scalar hair

Tahamtan

Svítek

2015

Phys. Rev. D

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Explicit Robinson-Trautman solution with minimally coupled free scalar field is derived and analyzed. It is shown that this solution contains curvature singularity which is initially naked but later the horizon envelopes it. We use quasilocal horizon definition and prove its existence in later retarded times using sub-and supersolution method combined with growth estimates. We show that the solution is generally of algebraic type II but reduces to type D in spherical symmetry.

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“…Extensions across such a "Schwarzschild-like" future event horizon are only of a finite order of smoothness. These results were later extended to cover the presence of a cosmological constant which naturally modifies the asymptotic behavior and the solutions tend to Schwarzschild-(anti-)de Sitter cases [8,9]. Finally, the Chruściel-Singleton analysis was used for RobinsonTrautman spacetimes admitting additionally pure radiation [10,11], where the asymptotic state is described by spherically symmetric Vaidya-(anti-)de Sitter metric.…”

Section: Introductionmentioning

confidence: 99%

Robinson–Trautman solution with nonlinear electrodynamics

Tahamtan

Svítek

2016

Eur. Phys. J. C

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Explicit Robinson-Trautman solutions with an electromagnetic field satisfying nonlinear field equations are derived and analyzed. The solutions are generated from the spherically symmetric ones. In all studied cases the electromagnetic field singularity is removed while the gravitational one persists. The models resolving the curvature singularity in spherically symmetric spacetimes could not be generalized to the Robinson-Trautman geometry using the generating method developed in this paper, which indicates that the removal of a singularity in the associated spherically symmetric case might be just a consequence of high symmetry. We show that the obtained solutions are generally of algebraic type II and reduce to type D in spherical symmetry. Asymptotically they tend to the spherically symmetric case as well.

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Global structure of Robinson-Trautman radiative space-times with cosmological constant

Cited by 36 publications

References 33 publications

Radiative Fields in Spacetimes With Minkowski and De Sitter Asymptotics

Radiative Fields in Spacetimes With Minkowski and De Sitter Asymptotics

Robinson-Trautman solution with scalar hair

Robinson–Trautman solution with nonlinear electrodynamics

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