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Parameterized nonrelativistic limit of stellar structure equations in Ricci-based gravity theories

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2021-07-16
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Olmo, Gonzalo J.
Wojnar, Aneta
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Amer Physical Soc
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We present the nonrelativistic limit of the stellar structure equations of Ricci-based gravities, a family of metric-affine theories whose Lagrangian is built via contractions of the metric with the Ricci tensor of an a priori independent connection. We find that this limit is characterized by four parameters that arise in the expansion of several geometric quantities in powers of the stress-energy tensor of the matter fields. We discuss the relevance of this result for the phenomenology of nonrelativistic stars, such as main-sequence stars as well as several substellar objects.
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© 2021 American Physical Society Atraccion de Talento Investigador programme of the Comunidad de Madrid (Spain) [2018-T1/TIC-10431]; Ministerio de Ciencia, Innovacion y Universidades (Spain) [PID2019-108485 GBI00]; FCTPortuguese Foundation for Science and TechnologyEuropean Commission [PTDC/FIS-PAR/31938/2017, PTDC/FISOUT/29048/2017]; EU through the European Regional Development Fund CoE program TK133 "The Dark Side of the Universe"; MINECO/FEDER, EU [FIS2017-84440-C21-P]; Generalitat ValencianaGeneralitat ValencianaEuropean Commission [PROMETEO/2020/079]; CSIC [i-COOPB20462]; FAPESQ-PB/CNPQ, Brazil [0015/2019, 006/2018 PRONEX]; COST (European Cooperation in Science and Technology)European Cooperation in Science and Technology (COST) [CA18108]
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