Abstract
A model of compact object coupled to inhomogeneous anisotropic dark energy is studied. It is assumed a variable dark energy that suffers a phase transition at a critical density. The anisotropic Λ-Tolman-Oppenheimer-Volkoff equations are integrated to know the structure of these objects. The anisotropy is concentrated on a thin shell where the phase transition takes place, while the rest of the star remains isotropic. The family of solutions obtained depends on the coupling parameter between the dark energy and the fermionic matter. The solutions share several features in common with the gravastar model. There is a critical coupling parameter that gives non-singular black hole solutions. The mass-radius relations are studied as well as the internal structure of the compact objects. The hydrodynamic stability of the models is analyzed using a standard test from the mass-radius relation. For each permissible value of the coupling parameter there is a maximum mass, so the existence of black holes is unavoidable within this model.
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References
Novikov, I.D., Frolov, V.P.: Physics of Black Holes. Kluwer Academic, Dordrecht (1989)
Gliner, E.B.: Sov. Phys. JETP 22, 378 (1966)
Gliner, E.B., Dymnikova, I.G.: Sov. Astron. Lett. 1, 93 (1975)
Poisson, E., Israel, W.: Class. Quantum Gravity 5, L201 (1988)
Chapline, G., Hohlfield, E., Laughlin, R.B., Santiago, D.I.: Philos. Mag. B 81, 235–254 (2001)
Chapline, G., Hohlfield, E., Laughlin, R.B., Santiago, D.I.: Quantum phase transitions and the breakdown of classical general relativity. Int. J. Mod. Phys. A 18, 3587–3590 (2003)
Mazur, P.O., Mottola, E.: Phys. Rev. D 64, 104022 (2001)
Mazur, P.O., Mottola, E.: Gravitational vacuum condensate stars. Proc. Natl. Acad. Sci. USA 101, 9545–9550 (2004)
Nicolini, P.: Noncommutative black holes, the final appeal to quantum gravity: a review. Int. J. Mod. Phys. A 24, 1229 (2009). arXiv:0807.1939 [hep-th]
Nicolini, P., Smailagic, A., Spallucci, E.: Noncommutative geometry inspired Schwarzschild black hole. Phys. Lett. B 632, 547 (2006). arXiv:gr-qc/0510112
Weinberg, S.: Rev. Mod. Phys. 61, 1 (1989)
Dymnikova, I.G.: The algebraic structure of a cosmological term in spherical symmetric solutions. Phys. Lett. B 472, 33–38 (2000)
Dymnikova, I.G.: The cosmological term as a source of mass. Class. Quantum Gravity 19, 725–739 (2002)
Cattoën, C., Faber, T., Visser, M.: Class. Quantum Gravity. 22, 4189–4202 (2005)
Mbonye, M.R., Kazanas, D.: Phys. Rev. D 72, 024016 (2005)
Chirenti, C.B.M.H., Rezzolla, L.: How to tell a gravastar from a black hole. Class. Quantum Gravity 24, 4191–4206 (2007)
Chan, V., da Silva, M.F.A., Rocha, P., Wang, A.: J. Cosmol. Astropart. Phys. 3, 010 (2009)
Lobo, F.S.N.: Class. Quantum Gravity 23, 1525 (2006)
Broderick, A.E., Narayan, R.: Class. Quantum Gravity 24, 659 (2007)
Barbieri, J., Chapline, G.: Phys. Lett. B 590, 8 (2004)
Weinberg, S.: Gravitation and Cosmology: Principles ans Applications of the General Theory of Relativity. Wiley, New York (1972)
Poisson, E.A.: A Relativist’s Toolkit: The Mathematics of Black-Hole Mechanics. Cambridge University Press, Cambridge (2004)
Shapiro, S.L., Teukolsky, S.A.: Black Holes, White Dwarfs, and Neutron Stars: The Physics of Compact Objects. Wiley-Interscience, New York (1983)
Ghezzi, C.R.: Phys. Rev. D 72, 104017 (2005)
Bowers, R.L., Liang, E.P.T.: Astrophys. J. 188, 657 (1974)
Oppenheimer, J.R., Volkoff, G.M.: Phys. Rev. D 55, 374 (1939)
Glendenning, N.K.: Compact Stars. Springer, New York (2000)
Landau, L.D., Lifshitz, E.: Fluid Mechanics. Pergamon Press, Oxford (1959)
Israel, W.: Singular hypersurfaces and thin shells in general relativity. Nuovo Cimento B 44, 1 (1966). Israel, B 48, 463 (1967). Erratum
Sagert, I., Fischer, T., Hempel, M., Pagliara, G., Schaffner-Bielich, J., Mezzacappa, A., Thielemann, F.-K., Liebendörfer, M.: Strange quark matter in explosive astrophysical systems. Phys. Rev. Lett. 102 (2009)
Bardeen, J.M., Thorne, K.S., Meltzer, D.W.: Astrophys. J. 145, 505 (1966)
Meltzer, D.W., Thorne, K.S.: Astrophys. J. 145, 514 (1966)
Thorne, K.S.: Science 150, 1671 (1965)
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Ghezzi, C.R. Anisotropic dark energy stars. Astrophys Space Sci 333, 437–447 (2011). https://doi.org/10.1007/s10509-011-0663-4
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DOI: https://doi.org/10.1007/s10509-011-0663-4