Mathematics – Logic
Scientific paper
Dec 2004
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2004cqgra..21r.233k&link_type=abstract
Classical and Quantum Gravity, Volume 21, Issue 24, pp. R233-R273 (2004).
Mathematics
Logic
5
Scientific paper
We analyse the directional properties of general gravitational, electromagnetic and spin-s fields near conformal infinity \scri . The fields are evaluated in normalized tetrads which are parallelly propagated along null geodesics which approach a point P of \scri . The standard peeling-off 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 Sitter-like \scri 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 Sitter-like 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 \scri .
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.
Krtous Pavel
Podolsky Jiri
No associations
LandOfFree
TOPICAL REVIEW: Asymptotic directional structure of radiative fields in spacetimes with a cosmological constant does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with TOPICAL REVIEW: Asymptotic directional structure of radiative fields in spacetimes with a cosmological constant, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and TOPICAL REVIEW: Asymptotic directional structure of radiative fields in spacetimes with a cosmological constant will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-1024368