An introduction to curved space-times.

Details An introduction to curved space-times. An introduction to curved space-times.

Jul 1991

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991itcs.book.....w&link_type=abstract

An introduction to curved space-times., by Williams, R. M.. European Organization for Nuclear Research, Geneva (Switzerland), 9

Mathematics

Logic

6

Scientific paper

These lectures focus on understanding relativity from a geometrical viewpoint, based on the use of space-time diagrams and without the tools of tensor calculus. After a brief discussion of flat space-times, curved space-times are introduced and it is shown how many of their properties may be deduced from their metric interval. The space-time around a spherically symmetric star and its possible collapse to form a black hole is described. Finally, some simple cosmological models are discussed, with emphasis on their causal properties and the existence of horizons. The titles of the lectures are: I. Flat space-times. II. Curved space-times. III. Spherical stars and stellar collapse. IV. Some simple cosmological models.

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