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pro vyhledávání: '"MacCallum, Malcolm A. H."'
Autor:
MacCallum, Malcolm A. H.
Publikováno v:
Class. Quant. Grav. 37, 195011 (2020)
In the existing implementations of the Cartan-Karlhede procedure for characterization and classification of spacetimes, a prominent r\^ole is played by multi-index two-component spinors symmetrized over both types of index. This paper considers the c
Externí odkaz:
http://arxiv.org/abs/2006.02177
Autor:
MacCallum, Malcolm A. H.
There are various types of global and local spacetime invariant in general relativity. Here I focus on the local invariants obtainable from the curvature tensor and its derivatives. The number of such invariants at each order of differentiation that
Externí odkaz:
http://arxiv.org/abs/1504.06857
To commemorate the 100th anniversary of general relativity, the International Society on General Relativity and Gravitation (ISGRG) commissioned a Centennial Volume, edited by the authors of this article. We jointly wrote introductions to the four Pa
Externí odkaz:
http://arxiv.org/abs/1409.5823
Publikováno v:
Phys.Rev.D75:024017,2007
Perturbed stationary axisymmetric isolated bodies, e.g. stars, represented by a matter-filled interior and an asymptotically flat vacuum exterior joined at a surface where the Darmois matching conditions are satisfied, are considered. The initial sta
Externí odkaz:
http://arxiv.org/abs/gr-qc/0609127
Publikováno v:
Class.Quant.Grav. 23 (2006) 5039-5048
Maartens {\it et al.}\@ gave a covariant characterization, in a 1+3 formalism based on a perfect fluid's velocity, of the parts of the first derivatives of the curvature tensor in general relativity which are ``locally free'', i.e. not pointwise dete
Externí odkaz:
http://arxiv.org/abs/gr-qc/0605075
We study the exterior vacuum problem for first and second order stationary and axially symmetric perturbations of static bodies. The boundary conditions and their compatibility for the existence of an asymptotically flat exterior solution are discuss
Externí odkaz:
http://arxiv.org/abs/gr-qc/0502063
Publikováno v:
Phys.Rev.D58:084001,1998
It is shown that the only functionals, within a natural class, which are monotonic in time for all solutions of the vacuum Einstein equations admitting a smooth ``piece'' of conformal null infinity Scri, are those depending on the metric only through
Externí odkaz:
http://arxiv.org/abs/gr-qc/9803010
Publikováno v:
Phys.Rev.Lett. 80 (1998) 5052-5055
The usual approaches to the definition of energy give an ambiguous result for the energy of fields in the radiating regime. We show that for a massless scalar field in Minkowski space-time the definition may be rendered unambiguous by adding the requ
Externí odkaz:
http://arxiv.org/abs/gr-qc/9801073
Publikováno v:
Class.Quant.Grav.15:1031-1041,1998
A limiting diagram for the Segre classification of the energy-momentum tensor is obtained and discussed in connection with a Penrose specialization diagram for the Segre types. A generalization of the coordinate-free approach to limits of Paiva et al
Externí odkaz:
http://arxiv.org/abs/gr-qc/9708045
Publikováno v:
Proc.Roy.Soc.Lond. A436 (1992) 299-316
The structure of polyhomogeneous space-times (i.e., space-times with metrics which admit an expansion in terms of $r^{-j}\log^i r$) constructed by a Bondi--Sachs type method is analysed. The occurrence of some log terms in an asymptotic expansion of
Externí odkaz:
http://arxiv.org/abs/gr-qc/9305021