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	ABOUT: [Introduction][History][Related areas][Subfields] POINTERS: [Texts][Software][Web links][Selected topics here] 83: Relativity and gravitational theory

Introduction

Relativity and gravitational theory: differential geometry, analysis, and group theory applied to physics on a grand scale or in extreme situations (e.g. black holes and cosmology).

History

See the articles on Special and General relativity at St. Andrews.

Applications and related fields

Subfields

• 83A05: Special relativity
• 83B05: Observational and experimental questions
• 83C: General relativity
• 83D05: Relativistic gravitational theories other than Einstein's, including asymmetric field theories
• 83E: Unified, higher-dimensional and super field theories
• 83F05: Cosmology

Browse all (old) classifications for this area at the AMS.

Textbooks, reference works, and tutorials

Perjés, Zoltán "A guide to basic exact solutions", General relativity (Aberdeen, 1995), 83--105; Scott. Univ. Summer School Phys., Edinburgh, 1996. MR97k:83017

Aerts, Diederik: "Relativity theory: what is reality?", Found. Phys. 26 (1996), no. 12, 1627--1644. MR98a:83005

Brout, R.; Massar, S.; Parentani, R.; Spindel, Ph.: "A primer for black hole quantum physics", Phys. Rep. 260 (1995), no. 6, 329--446. MR97g:83064

Soper, Davison Eugene: "Classical field theory", Wiley-Interscience [John Wiley & Sons], New York-London-Sydney, 1976. 259 pp. MR56#17673

Hakim, Rémi: "The inflationary universe: a primer" Gravitation, geometry and relativistic physics (Aussois, 1984), 302--332, Lecture Notes in Phys., 212; Springer, Berlin, 1984. CMP780230

Clarke, C. J. S.; Schmidt, B. G.: "Singularities: the state of the art", General Relativity and Gravitation 8 (1977), no. 2, 129--137. MR57#8832

Software and tables

Numerical Relativity group codes

Computational Toolkit for Numerical Relativity

Other web sites with this focus

• Topical interest group on Gravitation
• Hyperspace GR hypertext (Relativity and gravitation links)
• NCSA/LCA-Potsdam-WashU International Numerical Relativity Group; they in turn offer a large collection of Relativity links.
• Hyperspace at the ANU
• Max Planck Institute for Gravitational Physics (Albert Einstein Institute)
• Here are the AMS and Goettingen resource pages for area 83.
• The Net Advance of Physics

Selected topics at this site

• (John Baez) Historical example of use of symmetry groups in modelling in physics.