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Minimum main sequence mass in quadratic Palatini f(R) gravity

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Olmo, Gonzalo J. and Rubiera Garcia, Diego and Wojnar, Aneta Minimum main sequence mass in quadratic Palatini f(R) gravity. Physical review D, 100 (4). ISSN 2470-0010

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Official URL: http://dx.doi.org/10.1103/PhysRevD.100.044020


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Abstract

General relativity yields an analytical prediction of a minimum required mass of roughly similar to 0.08-0.09 M-circle dot for a star to stably burn sufficient hydrogen to fully compensate photospheric losses and, therefore, to belong to the main sequence. Those objects below this threshold ( brown dwarfs) eventually cool down without any chance to stabilize their internal temperature. In this work we consider quadratic Palatini f(R) gravity and show that the corresponding Newtonian hydrostatic equilibrium equation contains a new term whose effect is to introduce a weakening/strengthening of the gravitational interaction inside astrophysical bodies. This fact modifies the general relativity prediction for this minimum main sequence mass. Through a crude analytical modeling we use this result in order to constraint a combination of the quadratic f(R) gravity parameter and the central density according to astrophysical observations.


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© 2019 American Physical Society.
G. J. O. is funded by the Ramon y Cajal Contract No. RYC-2013-13019 (Spain). D. R. G. is funded by the Atraccion de Talento Investigador programme of the Comunidad de Madrid (Spain) Program No. 2018-T1/TIC-10431, and acknowledges further support from the Fundacao para a Ciencia e a Tecnologia (FCT, Portugal) research Projects No. UID/FIS/04434/2013, No. PTDC/FIS-OUT/29048/2017, and No. PTDC/FIS-PAR/31938/2017. A. W. acknowledges financial support from FAPES (Brazil). This work is supported by the Spanish Projects No. FIS2014-57387-C3-1-P and No. FIS2017-84440-C2-1-P (MINECO/FEDER, EU), the Project No. H2020-MSCA-RISE-2017 Grant No. FunFiCO-777740, the Project No. SEJI/2017/042 (Generalitat Valenciana), the Consolider Program No. CPANPHY-1205388, the Severo Ochoa Grant No. SEV-2014-0398 (Spain) and the Edital 006/2018 PRONEX (FAPESQ-PB/CNPQ, Brazil) and the EU COST Actions CA15117 and CA18108. D. R. G. and A. W. thank the Department of Physics and IFIC of the University of Valencia for their hospitality during different stages of the elaboration of this work.

Uncontrolled Keywords:Stars
Subjects:Sciences > Physics > Physics-Mathematical models
Sciences > Physics > Mathematical physics
ID Code:57487
Deposited On:29 Oct 2019 13:20
Last Modified:21 Apr 2020 23:56

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