Power laws, scale invariance and the generalized frobenius series: Applications to Newtonian and tov stars near criticality

International Journal of Modern Physics A

Volumn 18, Issue 20, 2003, Pages 3433-3468

  Visser, Matt ^a   Yunes, Nicolas ^b  

^a VICTORIA UNIVERSITY OF WELLINGTON   (New Zealand)

^b WASHINGTON UNIVERSITY   (United States)

Author keywords

Critical exponents; Frobenius series; Power laws; Scaling

Indexed keywords

ASTRONOMY; CORRELATION COEFFICIENT; COSMOS; ENERGY; MATHEMATICAL ANALYSIS; OSCILLATION; PHYSICS; REVIEW;

EID: 0041318818     PISSN: 0217751X     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0217751X03013892     Document Type: Review

References (9)

1. C. M. Bender and S. A. Orzag, Advanced Mathematical Methods for Scientists and Engineers (McGraw-Hill, USA, 1978).
2. S. Lefschetz, Differential Equations: Geometric Theory (Dover, New York, 1977).
3. S. Chandrasekhar, An Introduction to the Study of Stellar Structure (Dover, New York, 1957).
4. B. K. Harrison, K. S. Thorne, M. Wakano and J. A. Wheeler, Gravitation Theory and Gravitational Collapse (University of Chicago Press, Chicago, 1965).
5. M. W. Choptuik, Phys. Rev. Lett. 70, 9 (1993); M. W. Choptuik, T. Chmaj and P. Bizon, Phys. Rev. Lett. 77, 424 (1996).
6. M. W. Choptuik, Phys. Rev. Lett. 70, 9 (1993); M. W. Choptuik, T. Chmaj and P. Bizon, Phys. Rev. Lett. 77, 424 (1996).
7. C. Gundlach, Adv. Theor. Math. Phys. 2, 424 (1998); C. Gundlach, Adv. Theor. Math. Phys. 2, 1 (1998); C. Gundlach, Living Rev. Rel. 2, 4 (1999).
8. C. Gundlach, Adv. Theor. Math. Phys. 2, 424 (1998); C. Gundlach, Adv. Theor. Math. Phys. 2, 1 (1998); C. Gundlach, Living Rev. Rel. 2, 4 (1999).
9. C. Gundlach, Adv. Theor. Math. Phys. 2, 424 (1998); C. Gundlach, Adv. Theor. Math. Phys. 2, 1 (1998); C. Gundlach, Living Rev. Rel. 2, 4 (1999).