Constraints between equations of state and mass-radius relations in general clusters of stellar systems

Yuri Ximenes Martins, Daniel de Souza Plácido Teixeira, Luiz Felipe Andrade Campos, and Rodney Josué Biezuner
Phys. Rev. D 99, 023007 – Published 9 January 2019

Abstract

We prove three obstruction results on the existence of equations of state in clusters of stellar systems fulfilling mass-radius relations and some additional bound (on the mass, on the radius or a causal bound). The theorems are proved in great generality. We start with a motivating example of TOV systems and apply our results to stellar systems arising from experimental data.

  • Received 28 September 2018

DOI:https://doi.org/10.1103/PhysRevD.99.023007

© 2019 American Physical Society

Physics Subject Headings (PhySH)

Gravitation, Cosmology & Astrophysics

Authors & Affiliations

Yuri Ximenes Martins1,*, Daniel de Souza Plácido Teixeira2,†, Luiz Felipe Andrade Campos2,‡, and Rodney Josué Biezuner1,§

  • 1Departamento de Matemática, ICEx, Universidade Federal de Minas Gerais, Av. Antônio Carlos 6627, Pampulha, CP 702, CEP 31270-901 Belo Horizonte, MG, Brazil
  • 2Departamento de Física, ICEx, Universidade Federal de Minas Gerais, Av. Antônio Carlos 6627, Pampulha, CP 702, CEP 31270-901 Belo Horizonte, MG, Brazil

  • *yurixm@ufmg.br
  • danielspteixeira@ufmg.br
  • luizfelipeac@ufmg.br
  • §rodneyjb@ufmg.br

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Issue

Vol. 99, Iss. 2 — 15 January 2019

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