1990
DOI: 10.1016/0370-2693(90)90789-9
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Stability of boson-fermion stars

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Cited by 58 publications
(61 citation statements)
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“…One can still analyze their stability, among other alternatives, by studying the radial perturbations of these equilibrium configurations and then analyzing the eigenvalues of these modes in the linearized equations as in [15][16][17][18][19], or by evolving dynamically these perturbations by solving the full nonlinear equation of motion [20][21][22][23]. In [24,25] Henriques et al described a method to perform the analysis of stability of the boson-fermion stars by using the binding energy and the number of bosonic and fermionic particles as a function of the two free parameters. In this paper, we propose a similar criterion, and our results are compared with the full numerical solution of the equations of motion.…”
Section: Introductionmentioning
confidence: 99%
“…One can still analyze their stability, among other alternatives, by studying the radial perturbations of these equilibrium configurations and then analyzing the eigenvalues of these modes in the linearized equations as in [15][16][17][18][19], or by evolving dynamically these perturbations by solving the full nonlinear equation of motion [20][21][22][23]. In [24,25] Henriques et al described a method to perform the analysis of stability of the boson-fermion stars by using the binding energy and the number of bosonic and fermionic particles as a function of the two free parameters. In this paper, we propose a similar criterion, and our results are compared with the full numerical solution of the equations of motion.…”
Section: Introductionmentioning
confidence: 99%
“…Finally, we anticipate that the Newtonian approach to the boson star would be valid for a multi-scalar system with many U(1) charges, such as the 'multi-state boson star' [23], and the boson-fermion system [24][25][26][27], in order to extract its inherent characteristics in an efficient manner.…”
Section: Summary and Prospectsmentioning
confidence: 99%
“…We expand the scalar field in terms of creation and annihilation operators in the usual manner [15,16,17], in such a way that ϕ + = ϕ, as is appropriate for a real field:…”
Section: The Modelmentioning
confidence: 99%
“…For a more complete discussion of the issue of stability in boson-fermion stars we refer the reader to [16]. Although we cannot separate the mass of the fermionic component of the star, we introduce in addition, as a useful approximation, but only as an approximation, the following quantity for the fermion core:…”
Section: The Modelmentioning
confidence: 99%
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