Radiative Fields in Spacetimes With Minkowski and De Sitter Asymptotics

Bičák, Jiřı́; Krtouš, Pavel

doi:10.1142/9789812791238_0001

Cited by 4 publications

(15 citation statements)

References 27 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The type D spacetimes admit two double degenerate PNDs, R 1 = R 2 = tan θ1 2 and R 3 = R 4 = 0. The gravitational field near spacelike I thus takes the form 19) with two planes of symmetry, see figure 4(D). This directional dependence agrees with that for the C-metric spacetime with Λ > 0 derived recently in [102].…”

Section: Radiation On Spacelike Imentioning

confidence: 99%

See 1 more Smart Citation

Asymptotic directional structure of radiative fields in spacetimes with a cosmological constant

Krtouš¹,

Podolský²

2004

Class. Quantum Grav.

View full text Add to dashboard Cite

Abstract. We analyze the directional properties of general gravitational, electromagnetic, and spin-s fields near conformal infinity I. The fields are evaluated in normalized tetrads which are parallelly propagated along null geodesics which approach a point P of I. The standard peelingoff property is recovered and its meaning is discussed and refined. When the (local) character of the conformal infinity is null, such as in asymptotically flat spacetimes, the dominant term which is identified with radiation is unique. However, for spacetimes with a non-vanishing cosmological constant the conformal infinity is spacelike (for Λ > 0) or timelike (for Λ < 0), and the radiative component of each field depends substantially on the null direction along which P is approached.The directional dependence of asymptotic fields near such de Sitter-like or anti-de Sitterlike I is explicitly found and described. We demonstrate that the corresponding directional structure of radiation has a universal character that is determined by the algebraic (Petrov) type of the field. In particular, when Λ > 0 the radiation vanishes only along directions which are opposite to principal null directions. For Λ < 0 the directional dependence is more complicated because it is necessary to distinguish outgoing and ingoing radiation. Near such anti-de Sitterlike conformal infinity the corresponding directional structures differ, depending not only on the number and degeneracy of the principal null directions at P but also on their specific orientation with respect to I.The directional structure of radiation near (anti-)de Sitter-like infinities supplements the standard peeling-off property of spin-s fields. This characterization offers a better understanding of the asymptotic behaviour of the fields near conformal infinity under the presence of a cosmological constant.

show abstract

Section: Radiation On Spacelike Imentioning

confidence: 99%

“…For reviews of these contributions to the theory of gravitational radiation see, e.g., [12][13][14][15][16][17][18][19]. Although most of such spacetimes seem to be physically not very realistic, they serve as useful explicit models and test beds for numerical relativity and other approximations.…”

Section: Introductionmentioning

confidence: 99%

Asymptotic directional structure of radiative fields in spacetimes with a cosmological constant

Krtouš¹,

Podolský²

2004

Class. Quantum Grav.

View full text Add to dashboard Cite

show abstract

“…[36] and discussed in Ref. [23]. These coordinates are analogue of the Rindler coordinates in Minkowski space generalized to the case of the de Sitter universe.…”

Section: Figmentioning

confidence: 99%

“…In fact, radiative properties of a test electromagnetic field of two uniformly accelerated point-like charges in the de Sitter background has recently been studied [22,23]. Within this context, the above mentioned directional dependence has been explicitly found.…”

Section: Introductionmentioning

confidence: 99%

Radiation from accelerated black holes in a de Sitter universe

Krtouš

Podolský

2003

Phys. Rev. D

View full text Add to dashboard Cite

Radiative properties of gravitational and electromagnetic fields generated by uniformly accelerated charged black holes in asymptotically de Sitter spacetime are studied by analyzing the C-metric exact solution of the Einstein-Maxwell equations with a positive cosmological constant Λ. Its global structure and physical properties are thoroughly discussed. We explicitly find and describe the specific pattern of radiation which exhibits the dependence of the fields on a null direction along which the (spacelike) conformal infinity is approached. This directional characteristic of radiation supplements the peeling behavior of the fields near infinity. The interpretation of the solution is achieved by means of various coordinate systems, and suitable tetrads. The relation to the RobinsonTrautman framework is also presented.

show abstract

“…17, their applications and new references are given in the reviews. [18][19][20] One of the best known examples, the so-called C-metric, describing uniformly accelerated black holes, is the only boost-rotation symmetric solution known also for a nonvanishing cosmological constant ⌳. Asymptotically this "generalized" C-metric approaches de Sitter space-time if ⌳Ͼ0.…”

mentioning

confidence: 99%

Fields of accelerated sources: Born in de Sitter

Bičák

Krtouš

2005

Journal of Mathematical Physics

View full text Add to dashboard Cite

This paper deals thoroughly with the scalar and electromagnetic fields of uniformly accelerated charges in de Sitter spacetime. It gives details and makes various extensions of our Physical Review Letter from 2002. The basic properties of the classical Born solutions representing two uniformly accelerated charges in flat spacetime are first summarized. The worldlines of uniformly accelerated particles in de Sitter universe are defined and described in a number of coordinate frames, some of them being of cosmological significance, the other are tied naturally to the particles. The scalar and electromagnetic fields due to the accelerated charges are constructed by using conformal relations between Minkowski and de Sitter space. The properties of the generalized `cosmological' Born solutions are analyzed and elucidated in various coordinate systems. In particular, a limiting procedure is demonstrated which brings the cosmological Born fields in de Sitter space back to the classical Born solutions in Minkowski space. In an extensive Appendix, which can be used independently of the main text, nine families of coordinate systems in de Sitter spacetime are described analytically and illustrated graphically in a number of conformal diagrams.Comment: 37 pages, 23 figures, reformatted version of the paper published in JMP; low-resolution figures due to arXiv size restrictions; for the version with high-resolution figures see http://utf.mff.cuni.cz/~krtous/papers

show abstract

Radiative Fields in Spacetimes With Minkowski and De Sitter Asymptotics

Cited by 4 publications

References 27 publications

Asymptotic directional structure of radiative fields in spacetimes with a cosmological constant

Asymptotic directional structure of radiative fields in spacetimes with a cosmological constant

Radiation from accelerated black holes in a de Sitter universe

Fields of accelerated sources: Born in de Sitter

Contact Info

Product

Resources

About