2016
DOI: 10.1103/physrevd.94.103513
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General relativistic polytropes with a repulsive cosmological constant

Abstract: Spherically symmetric equilibrium configurations of perfect fluid obeying a polytropic equation of state are studied in spacetimes with a repulsive cosmological constant. The configurations are specified in terms of three parameters-the polytropic index n, the ratio of central pressure and central energy density of matter σ, and the ratio of energy density of vacuum and central density of matter λ. The static equilibrium configurations are determined by two coupled first-order nonlinear differential equations … Show more

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Cited by 99 publications
(144 citation statements)
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“…Notice correspondence of r 0 and the radius of photon circular orbit [47,48] One can see from Fig. 5 that in the limit of large multipole number l real and imaginary parts of the quasinormal frequencies tend to finite values.…”
Section: Axial Perturbationsmentioning
confidence: 84%
“…Notice correspondence of r 0 and the radius of photon circular orbit [47,48] One can see from Fig. 5 that in the limit of large multipole number l real and imaginary parts of the quasinormal frequencies tend to finite values.…”
Section: Axial Perturbationsmentioning
confidence: 84%
“…In the Maxwellian limit, namely, L = F , from Eqs. (26) and (27), by solving the differential equation, one obtains…”
Section: Generic Rotating Regular Black Hole Solution Of Nonlinementioning
confidence: 99%
“…Rotating regular black hole solutions have been introduced in [19][20][21][22][23][24]. Similarly to the Kerr or Reissner-Nordström solutions of the standard general relativity that describe both black holes and naked singularities, the regular solutions describe both the black hole and no-horizon spacetimes demonstrating strong gravity effects [25][26][27][28][29][30][31][32].…”
Section: Introductionmentioning
confidence: 99%
“…The K-S naked singularity spacetimes were recently extensively studied, in particular the effective potential of the test particle motion and the circular geodesics were studied in [31], where a close similarity with properties of the circular geodesics of the Reissner-Nordström (RN) naked singularity spacetimes [32,33] has been demonstrated. The ultra-high-energy particle collisions in the deepest parts of the gravitational potential of K-S naked singularity spacetimes have been studied in [34].…”
Section: Introductionmentioning
confidence: 99%