Time dependent accretion disks around compact objects, part 1. Theoretical frameworks for analyzing and testing gravitation theories, part 2

Details Time dependent accretion disks around compact objects, part 1. Theoretical frameworks for analyzing and testing gravitation theories, part 2 Time dependent accretion disks around compact objects, part 1. Theoretical frameworks for analyzing and testing gravitation theories, part 2

May 1974

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1974phdt.........6l&link_type=abstract

Ph.D. Thesis California Inst. of Tech., Pasadena.

Computer Science

Numerical Analysis

Deposition, Disks, Gravitation Theory, Numerical Analysis, Time Dependence, Conservation Laws, Mathematical Models

Scientific paper

The theory of time-independent accretion disks around compact objects is developed, generalizing the stationary models of various authors to allow time dependence on the radial-flow time scale. Equations are derived for the time evolution of matter surface density Sigma and for implicit expressions of relevant disk variables in terms of Sigma. Analytic and numerical studies of these equations yield numerical models of mass accretion from a disk onto a compact object and a discovery of the unstable nature of the inner region of the disk, causing a breakdown of current accretion disk models. Theoretical frameworks for analyzing and testing gravitation theories are developed for both nonmetric and metric theories. Highly precise experimental confirmation of the weak equivalence principle is shown to be deadly if not fatal evidence for ruling out all nonmetric theories of gravity. Conservation laws and some common properties of Lagrangian-based metric theories of gravity were also investigated.

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