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Generalized Einstein theory with fundamental cosmological stress tensor

1999/02/10 by Arlen Anderson, Anderson, Arlen
Physics and Astronomy · #Astrophysics (astro-ph) #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Relativity and Gravitational Theory #astro-ph #gr-qc

paper · pdf · doi:10.48550/arxiv.gr-qc/9902027

4 pages, revtex

arxiv created 1999/02/10 · openalex publication_date 1999/02/10 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Careful analysis of parametrized variational principles in mechanics and field theory leads to a generalization of Einstein theory that includes a cosmological stress tensor. This generalization also follows by restricting variations of the metric in the Hilbert action to spacetime diffeomorphisms. The equation of motion for the generalized theory is the twice-contracted Bianchi identity while the field equations constitute the stress tensor of the theory. Gravity is interpreted as a cosmological fluid.

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