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A paperback edition of a classic text, this book gives a unique survey of the known solutions of Einstein's field equations for vacuum, Einstein-Maxwell, pure radiation and perfect fluid sources. It introduces the foundations of differential geometry
Autor:
Malcolm MacCallum
Publikováno v:
International Journal of Modern Physics D. 31
General relativistic spacetimes in which at every point [Formula: see text] in some neighbourhood [Formula: see text] the tangent space [Formula: see text] is invariant under the same continuous subgroup [Formula: see text] of the Lorentz group are c
Autor:
Malcolm MacCallum
Publikováno v:
General Relativity and Gravitation. 53
It is shown that in many cases local null rotation invariance of the curvature and its first derivatives is sufficient to ensure there is an isometry group G with dimension at least 3 acting on (a neighbourhood of) the spacetime and containing a null
Autor:
Malcolm MacCallum
Publikováno v:
General Relativity and Gravitation. 53
Conditions are found which ensure that local boost invariance (LBI), invariance under a linear boost isotropy, implies local boost symmetry (LBS), i.e. the existence of a local group of motions such that for every point $P$ in a neighbourhood there i
Autor:
Malcolm MacCallum
The weakest known criterion for local rotational symmetry (LRS) in spacetimes of Petrov type D is due to Goode and Wainwright (1986). Here it is shown, using methods related to the Cartan-Karlhede procedure, to be equivalent to local spatial rotation
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3186d7b71369d2aecaf7c1e3f9d4872a
http://arxiv.org/abs/2104.11297
http://arxiv.org/abs/2104.11297
Autor:
Malcolm MacCallum
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:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::421430c0c5b361493f146722a74724eb
Autor:
D. D. McNutt, P. C. Chavy-Waddy, Alan Coley, Daniele Gregoris, D. Brooks, A. Forget, Malcolm MacCallum
Publikováno v:
General Relativity and Gravitation. 52
Autor:
Malcolm MacCallum
Publikováno v:
Living Reviews in Relativity, Vol 21, Iss 1, Pp 1-93 (2018)
Living Reviews in Relativity
Living Reviews in Relativity
The complicated nature of calculations in general relativity was one of the driving forces in the early development of computer algebra (CA). CA has become widely used in gravity research (GR) and its use can be expected to grow further. Here the gen
Publikováno v:
Biographical Memoirs of Fellows of the Royal Society. 64:261-284
Martin David Kruskal was one of the most versatile theoretical physicists of his generation and is distinguished for his enduring work in several different areas, most notably plasma physics, a memorable detour into relativity and his pioneering work
Autor:
Malcolm MacCallum
Publikováno v:
J Anat
This book introduces the ‘dramatis personae’ of three important and well‐travelled anatomists: a Scotsman (Arthur Keith), an Englishman (Frederic Wood Jones) and an Australian (Grafton Elliot Smith). Their remarkable biographies are skilfully i