Abstract
view Abstract Citations (63) References (16) Co-Reads Similar Papers Volume Content Graphics Metrics Export Citation NASA/ADS Lagrangian Evolution of the Weyl Tensor Bertschinger, Edmund ; Hamilton, A. J. S. Abstract We derive the evolution equations for the electric and magnetic parts of the Weyl tensor for cold dust from both general relativity and Newtonian gravity. In a locally inertial frame at rest in the fluid frame, the Newtonian equations agree with those of general relativity. We give explicit expressions for the electric and magnetic parts of the Weyl tensor in the Newtonian limit. In general, the magnetic part does not vanish, implying that the Lagrangian evolution of the fluid is not purely local. Publication: The Astrophysical Journal Pub Date: November 1994 DOI: 10.1086/174787 arXiv: arXiv:astro-ph/9403016 Bibcode: 1994ApJ...435....1B Keywords: Cosmology; Electric Fields; Gravitation Theory; Lagrangian Function; Magnetic Fields; Newton Theory; Relativity; Tensors; Equations Of Motion; Gravitational Collapse; Universe; Astrophysics; COSMOLOGY: THEORY; GRAVITATION; COSMOLOGY: LARGE-SCALE STRUCTURE OF UNIVERSE; Astrophysics; General Relativity and Quantum Cosmology E-Print: 17 pages, AAS LateX v3.0, submitted to ApJ, MIT-CSR-94-06 full text sources arXiv | ADS |
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