Astronomy and Astrophysics – Astrophysics
Scientific paper
Feb 1978
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1978ap%26ss..53..429h&link_type=abstract
Astrophysics and Space Science, vol. 53, no. 2, Feb. 1978, p. 429-444. Research supported by the National Research Council of C
Astronomy and Astrophysics
Astrophysics
39
Density Distribution, Galactic Clusters, Relativity, Similarity Theorem, Space-Time Functions, Canonical Forms, Differential Equations, Einstein Equations, Equations Of State, Newton Theory, Schwarzschild Metric
Scientific paper
Self-similar symmetry is applied to the theory of general relativity to represent three solutions to space-time continua. Ordinary differential equations are presented which represent (1) a static, spherically symmetrical matter distribution, (2) a non-static dust cloud with theta dependent on epoch, and (3) a 'stiff' equation of state with a numerically described topology, having a uniquely defined 'critical' solution. Applications of canonical cosmological space-times to astrophysics are discussed. Also dealt with is a perturbation scheme whereby small density inhomogeneities grow self-similarly in a non-extreme relativistic configuration. An exact solution of Einstein's field equations is given to represent the inhomogeneities in a sphere of matter with static isothermal equilibrium. Since the perturbed configuration develops asymptotically, the hypothesis is advanced that an expanding cosmology did not begin as a big bang, but rather from an inhomogeneous 'primeval atom' which tends toward homogeneity as it develops.
Henriksen Richard N.
Wesson Paul S.
No associations
LandOfFree
Self-similar space-times. I - Three solutions does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Self-similar space-times. I - Three solutions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Self-similar space-times. I - Three solutions will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-1034091