Physics
Scientific paper
Aug 2001
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2001gregr..33.1267c&link_type=ejournal
General Relativity and Gravitation, Volume 33, Issue 8, pp.1267-1279
Physics
1
Higher-Order Gravity, Lane-Emden Equation, Stellar Structure
Scientific paper
Starting with the general "quadratic gravity" in four dimensions, linearization, assumption of the weak gravitational field to be static and matter to be a perfect fluid, one arrives at the modified Lane-Emden equation. The solutions of the modified Lane-Emden equation are found and the formulas for the stellar radius are obtained in two cases of the polytropic index N = 0 and N = 1. The influence of the additional Yukawa forces in the linearized higher-order gravitation on the Newtonian stellar structure is discussed.
Chen Yihan
Shao Changgui
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