SERGYEYEV, Artur and Aneta WOJNAR. The Palatini star: exact solutions of the modified Lane-Emden equation. European Physical Journal C. New York (USA): SPRINGER, 2020, vol. 80, No 313, p. "313-1"-"313-6", 6 pp. ISSN 1434-6044. doi:10.1140/epjc/s10052-020-7876-z.
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Basic information
Original name The Palatini star: exact solutions of the modified Lane-Emden equation
Authors SERGYEYEV, Artur (804 Ukraine, belonging to the institution) and Aneta WOJNAR (616 Poland, guarantor).
Edition European Physical Journal C, New York (USA), SPRINGER, 2020, 1434-6044.
Other information
Original language English
Type of outcome Article in a journal
Field of Study 10308 Astronomy
Country of publisher United States of America
Confidentiality degree is not subject to a state or trade secret
WWW European Physical Journal C
RIV identification code RIV/47813059:19610/20:A0000069
Organization unit Mathematical Institute in Opava
UT WoS 000526528300002
Keywords in English modified Lane–Emden equation; exact solutions; Palatini gravity; stars
Tags International impact, Reviewed
Links GBP201/12/G028, research and development project. LTI17018, research and development project.
Changed by Changed by: Mgr. Aleš Ryšavý, učo 28000. Changed: 6/4/2021 06:53.
Two exact solutions for n=0 and n=1 of the Palatini-modified Lane-Emden equation are found. We have employed these solutions to describe a Palatini-Newtonian neutron or low mass brown dwarf star and compared the result with the pure Newtonian counterpart. It turned out that for the negative parameter of the Starobinsky model the star is heavier and larger.
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