J 2020

The Palatini star: exact solutions of the modified Lane-Emden equation

SERGYEYEV, Artur and Aneta WOJNAR

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

Language

English

Type of outcome

Článek v odborném periodiku

Field of Study

10308 Astronomy

Country of publisher

United States of America

Confidentiality degree

není předmětem státního či obchodního tajemství

References:

RIV identification code

RIV/47813059:19610/20:A0000069

Organization unit

Mathematical Institute in Opava

DOI

UT WoS

000526528300002

Keywords in English

modified Lane–Emden equation; exact solutions; Palatini gravity; stars

Tags

Tags

International impact, Reviewed

Links

GBP201/12/G028, research and development project. LTI17018, research and development project.
Změněno: 6/4/2021 06:53, Mgr. Aleš Ryšavý

Abstract

V originále

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.