Asymptotic directional structure of radiation for fields of algebraic type D

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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.

Section: Radiation On Timelike Imentioning

confidence: 78%

Section: Radiation On Spacelike Imentioning

confidence: 99%

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

Krtouš¹,

Podolský²

2004

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“…In particular, we analyze the directional structure at conformal infinity of the leading component of the field which corresponds to radiation. In fact, this is a natural extension of our previous work [9][10][11][12] in which we completely described the asymptotic directional structure of radiation in four-dimensional spacetimes with conformal infinity of any character (null, spacelike, or timelike). We demonstrated that this directional structure has universal properties that are basically given by the algebraic type of given spacetime, namely the degeneracy and orientation of principal null directions of the Weyl tensor.…”

Section: Introductionmentioning

confidence: 67%

Asymptotic structure of radiation in higher dimensions

Krtouš¹,

Podolský²

2006

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Abstract. We characterize a general gravitational field near conformal infinity (null, spacelike, or timelike) in spacetimes of any dimension. This is based on an explicit evaluation of the dependence of the radiative component of the Weyl tensor on the null direction from which infinity is approached. The behaviour similar to peeling property is recovered, and it is shown that the directional structure of radiation has a universal character that is determined by the algebraic type of the spacetime. This is a natural generalization of analogous results obtained previously in the four-dimensional case.

“…It was recently demonstrated in the series of papers [4][5][6][7][8][9][10][11] that such a directional structure of gravitational or electromagnetic radiation can be generally described in a closed form. In fact, it has a universal character that is essentially determined by the algebraic type of the given field, namely by local degeneracy and orientation of its principal null directions on I.…”

Section: Introductionmentioning

confidence: 99%

Radiation generated by accelerating and rotating charged black holes in (anti-)de Sitter space

Podolský¹,

Kadlecová²

2009

Abstract. Asymptotic behaviour of gravitational and electromagnetic fields of exact type D solutions from the large Plebański-Demiański family of black hole spacetimes is analyzed. The amplitude and directional structure of radiation is evaluated in cases when the cosmological constant is non-vanishing, so that the conformal infinities have either de Sitter-like or anti-de Sitter-like character. In particular, explicit relations between the parameters that characterize the sources (that is their mass, electric and magnetic charges, NUT parameter, rotational parameter, and acceleration) and properties of the radiation generated by them are presented. The results further elucidate the physical interpretation of these solutions and may help to understand radiative characteristics of more general spacetimes than those that are asymptotically flat.