Radiation from accelerated black holes in a de Sitter universe

Krtouš, Pavel; Podolský, Jiř̌í

doi:10.1103/physrevd.68.024005

Cited by 41 publications

(77 citation statements)

References 37 publications

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“…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]. For Petrov type II spacetimes, only two PNDs coincide so that R 1 = tan θ1 2 , R 2 = tan θ2 2 exp(−iφ 2 ), R 3 = R 4 = 0.…”

Section: Radiation On Spacelike Isupporting

confidence: 76%

“…For Λ > 0 it represents a pair of uniformly accelerated possibly charged black holes in de Sitterlike universe. In [102] we demonstrated that the corresponding electromagnetic field exhibits exactly the same asymptotic radiative behaviour at the spacelike conformal infinity I as for the test fields [101] of accelerated charges. Moreover, we found and explicitly described the specific analogous directional structure of the gravitational radiation field, and we proved that the directional pattern of radiation is adapted to the principal null directions of this Petrov type D spacetime.…”

Section: On Studies Of Asymptotic Behaviour Of Radiative Fields In Gementioning

confidence: 89%

“…(5.19), illustrated in figure 4(D). The latter result was first obtained for the test field of uniformly accelerated charges in de Sitter spacetime [101] and then recovered in the context of the charged C-metric spacetime [102].…”

Section: Radiation On Spacelike Imentioning

confidence: 99%

“…Ref. [102,109]. It would be interesting to discover a similar relation between PNDs and sources in a more general situation.…”

Section: On the Meaning Of The Peeling-off Behaviourmentioning

confidence: 99%

“…The PNDs defined at infinity can be used to define canonical reference tetrads as will be done in sections 5.4 and 5.5. For example, the C-metric spacetime is of Petrov type D everywhere, including at infinity, and its double degenerate PNDs at I have been used to define the reference tetrad in [102].…”

Section: On the Meaning Of The Peeling-off Behaviourmentioning

confidence: 99%

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

Krtouš¹,

Podolský²

2004

Class. Quantum Grav.

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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.

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Section: Radiation On Spacelike Isupporting

confidence: 76%

Section: On Studies Of Asymptotic Behaviour Of Radiative Fields In Gementioning

confidence: 89%

Section: Radiation On Spacelike Imentioning

confidence: 99%

“…Ref. [102,109]. It would be interesting to discover a similar relation between PNDs and sources in a more general situation.…”

Section: On the Meaning Of The Peeling-off Behaviourmentioning

confidence: 99%

Section: On the Meaning Of The Peeling-off Behaviourmentioning

confidence: 99%

See 3 more Smart Citations

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

Krtouš¹,

Podolský²

2004

Class. Quantum Grav.

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Heisenberg soft hair on Robinson-Trautman spacetimes

Adami,

Parvizi,

Sheikh-Jabbari

et al. 2024

J. High Energ. Phys.

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We study 4 dimensional (4d) gravitational waves (GWs) with compact wavefronts, generalizing Robinson-Trautman (RT) solutions in Einstein gravity with an arbitrary cosmological constant. We construct the most general solution of the GWs in the presence of a causal, timelike, or null boundary when the usual tensor modes are turned off. Our solution space besides the shape and topology of the wavefront which is a generic compact, smooth, and orientable 2d surface Σ, is specified by a vector over Σ satisfying the conformal Killing equation and two scalars that are arbitrary functions over the causal boundary, the boundary modes (soft hair). We work out the symplectic form over the solution space using covariant phase space formalism and analyze the boundary symmetries and charges. The algebra of surface charges is a Heisenberg algebra. Only the overall size of the compact wavefront and not the details of its shape appears in the boundary symplectic form and is canonical conjugate to the overall mass of the GW. Hence, the information about the shape of the wavefront can’t be probed by the boundary observer. We construct a boundary energy-momentum tensor and a boundary current, whose conservation yields the RT equation for both asymptotically AdS and flat spacetimes. The latter provides a hydrodynamic description for our RT solutions.

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Asymptotic directional structure of radiation for fields of algebraic type D

Krtouš

Podolský

2005

Czech J Phys

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The directional behavior of dominant components of algebraically special spin-s fields near a spacelike, timelike or null conformal infinity is studied. By extending our previous general investigations, we concentrate on fields which admit a pair of equivalent algebraically special null directions, such as the Petrov type-D gravitational fields or algebraically general electromagnetic fields. We introduce and discuss a canonical choice of the reference tetrad near infinity in all possible situations, and we present the corresponding asymptotic directional structures using the most natural parametrizations.

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Radiation from accelerated black holes in a de Sitter universe

Cited by 41 publications

References 37 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

Heisenberg soft hair on Robinson-Trautman spacetimes

Asymptotic directional structure of radiation for fields of algebraic type D

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