Showing papers by "Roger Penrose published in 1974"
01 Jan 1974
TL;DR: A mathematical fact of very great significance for relativity theory is the existence of the familiar homomorphism* between the group SL(2,C) of complex unimodular (2 × 2) matrices and the Lorentz group 0(1,3) as mentioned in this paper.
Abstract: A mathematical fact of very great significance for relativity theory is the existence of the familiar homomorphism* between the group SL(2,C) of complex unimodular (2 × 2) matrices and the Lorentz group 0(1,3). This homomorphism
$$SL\left( {2,C} \right) \to 0\left( {1,3} \right)$$
(1.1)
is a local isomorphism and maps SL(2,C) onto the identity-connected component of 0(1,3), in an essentially (2-1) fashion. The term “essentially” here refers to the fact that SL(2,C) is connected.
58 citations
TL;DR: The Large Scale Structure of Space-Time (LSST) as mentioned in this paper is a seminal work in the field of space-time physics, which is also related to ours in many ways. Pp.
Abstract: The Large Scale Structure of Space-Time. By S. W. Hawking and G. F. R. Ellis. Pp. xi+391. (Cambridge University: London, May 1973.) £10; $28.50.
1 citations