Mathematical Theory of Classical Fields and General Relativity

Sergiu Klainerman
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Sergiu Klainerman: Princeton University

A chapter in Mathematical Physics X, 1992, pp 213-236 from Springer

Abstract: Abstract The subject of Classical Field Theory has received relatively little attention from both mathematicians and theoretical physicists. The former look at it primarily from the perspective of Quantum Mechanics, namely, as subject of the elusive task of quantization. Mathematicians, on the other hand, never quite took the underlying geometric structure of Classical Field Theory, the space-time, seriously. The geometers, though greatly emboldened by the success of Riemann’s visionary ideas in the formulation of General Relativity, have stayed away, with few notable exceptions, from the fundamental new twist given to them by Einstein who replaced the positive definite metric of Riemannian Geometry by a Lorentzian, or more appropriate, Einsteinian metric.

Keywords: Black Hole; Gravitational Wave; Bianchi Identity; Nonlinear Wave Equation; Classical Field (search for similar items in EconPapers)
Date: 1992
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DOI: 10.1007/978-3-642-77303-7_16

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