On the Stability of Axisymmetric Systems to Axisymmetric Perturbations in General Relativity, I. The Equations Governing Nonstationary, and Perturbed Systems

view Abstract Citations (77) References (20) Co-Reads Similar Papers Volume Content Graphics Metrics Export Citation NASA/ADS On the Stability of Axisymmetric Systems to Axisymmetric Perturbations in General Relativity, I. The Equations Governing Nonstationary, and Perturbed Systems Chandrasekhar, S. ; Friedman, John L. Abstract Axisymmetric systems in general relativity are considered. The field and the fluid equations that are appropriate to general nonstationary (but axisymmetric) systems are first derived. They are then specialized to yield the equations which govern stationary equilibrium. The equations whieh determine the evolution of small departures from equilibrium are also obtained. Related matters that are considered include the Landau-Lifshitz complex, the conserved quantities, and the constancy of the baryon number and the angular momentum (per baryon) of a fluid element as it moves. The theory is developed with a view toward establishing criteria for the stability of rotating systems to axisymmetric perturbations. Publication: The Astrophysical Journal Pub Date: July 1972 DOI: 10.1086/151566 Bibcode: 1972ApJ...175..379C full text sources ADS | Related Materials (2) Part 2: 1972ApJ...176..745C Part 3: 1972ApJ...177..745C