Hamilton-Jacobi formalism for Generalized Chaplygin Gas models

Ignatov, Yordan; Pieroni, Mauro

doi:10.48550/arxiv.2110.10085

Cited by 2 publications

(2 citation statements)

References 72 publications

(86 reference statements)

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“…The application of the Hamilton-Jacobi formalism for generalized Chaplygin gas models was carried out in Ref. [12]. Additionally, it is worth mentioning that Odintsov et al [13] considered two different equations of state for dark energy (i.e., power-law and logarithmic effective corrections to the pressure).…”

Section: Introductionmentioning

confidence: 99%

Radial pulsations, moment of inertia and tidal deformability of dark energy stars

Pretel

2023

Eur. Phys. J. C

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We construct dark energy stars with Chaplygin-type equation of state (EoS) in the presence of anisotropic pressure within the framework of Einstein gravity. From the classification established by Iyer et al. (Class Quantum Grav 2:219, 1985), we discuss the possible existence of isotropic dark energy stars as compact objects. However, there is the possibility of constructing ultra-compact stars for sufficiently large anisotropies. We investigate the stellar stability against radial oscillations, and we also determine the moment of inertia and tidal deformability of these stars. We find that the usual static criterion for radial stability $$dM/d\rho _c >0$$ d M / d ρ c > 0 still holds for dark energy stars since the squared frequency of the fundamental pulsation mode vanishes at the critical central density corresponding to the maximum-mass configuration. The dependence of the tidal Love number on the anisotropy parameter $$\alpha $$ α is also examined. We show that the surface gravitational redshift, moment of inertia and dimensionless tidal deformability undergo significant changes due to anisotropic pressure, primarily in the high-mass region. Furthermore, in light of the detection of gravitational waves GW190814, we explore the possibility of describing the secondary component of such event as a stable dark energy star in the presence of anisotropy.

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Section: Introductionmentioning

confidence: 99%

Radial pulsations, moment of inertia and tidal deformability of dark energy stars

Pretel

2023

Eur. Phys. J. C

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show abstract

“…The application of the Hamilton-Jacobi formalism for generalized Chaplygin gas models was carried out in Ref. [12]. Additionally, it is worth mentioning that Odintsov et al [13] considered two different equations of state for dark energy (i.e., powerlaw and logarithmic effective corrections to the pressure).…”

Section: Introductionmentioning

confidence: 99%

Radial pulsations, moment of inertia and tidal deformability of dark energy stars

Pretel¹

2023

Preprint

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We construct dark energy stars with Chaplygin-type equation of state (EoS) in the presence of anisotropic pressure within the framework of Einstein gravity. From the classification established by Iyer et al. [Class. Quantum Grav. 2, 219 (1985)], we discuss the possible existence of isotropic dark energy stars as compact objects. However, there is the possibility of constructing ultra-compact stars for sufficiently large anisotropies. We investigate the stellar stability against radial oscillations, and we also determine the moment of inertia and tidal deformability of these stars. We find that the usual static criterion for radial stability dM/dρc > 0 still holds for dark energy stars since the squared frequency of the fundamental pulsation mode vanishes at the critical central density corresponding to the maximum-mass configuration. The dependence of the tidal Love number on the anisotropy parameter α is also examined. We show that the surface gravitational redshift, moment of inertia and dimensionless tidal deformability undergo significant changes due to anisotropic pressure, primarily in the high-mass region. Furthermore, in light of the detection of gravitational waves GW190814, we explore the possibility of describing the secondary component of such event as a stable dark energy star in the presence of anisotropy.

show abstract

Hamilton-Jacobi formalism for Generalized Chaplygin Gas models

Cited by 2 publications

References 72 publications

Radial pulsations, moment of inertia and tidal deformability of dark energy stars

Radial pulsations, moment of inertia and tidal deformability of dark energy stars

Radial pulsations, moment of inertia and tidal deformability of dark energy stars

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