Scale-dependent Hayward black hole and the generalized uncertainty principle

Contreras, Ernesto; Bargueño, Pedro

doi:10.1142/s0217732318501845

Cited by 42 publications

(37 citation statements)

References 83 publications

(89 reference statements)

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“…This choice seems peculiar, since one usually expects k ∼ 1/z for dimensional reasons. Similar results have been found in [46][47][48][49][50][51][52][53][54][55][56][57][58][59] but the deeper reason behind this result is still unknown . An important hint for solving this riddle could come from considering the dimensionless product G(k) ·Λ (k) instead of the individual dimensionful quantities as discussed in [73].…”

Section: Discussionsupporting

confidence: 84%

Scale-dependent planar anti-de Sitter black hole

et al. 2019

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In this work, we investigate four-dimensional planar black hole solutions in anti-de Sitter spacetimes in light of the so-called scale-dependent scenario. To obtain this new family of solutions, the classical couplings of the theory, i.e., the gravitational coupling G 0 and the cosmological constant Λ 0 , are not taken to be fixed values anymore. Thus, those classical parameters evolve to functions which change along the "height" coordinate, z. The effective Einstein field equations are solved, and the results are analyzed and compared with the classical counterpart. Finally, some thermodynamic properties of the presented scale-dependent black hole are investigated.

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Section: Discussionsupporting

confidence: 84%

Scale-dependent planar anti-de Sitter black hole

et al. 2019

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“…What is more, it would be interesting to investigate how the properties of the solution obtained here are modified in the framework of the so-called scale-dependent scenario, where the coupling constants acquire a dependence on the scale, i.e. {G 0 , Λ 0 } → {G k , Λ k }), and which has received considerable attention lately [76][77][78][79][80][81][82][83][84][85][86][87][88][89][90][91][92]. In this case, the TOV equations should be modified to account for the running of the gravitational coupling and the Gauss-Bonnet parameter α.…”

Section: Numerical Resultsmentioning

confidence: 99%

Relativistic strange quark stars in Lovelock gravity

Panotopoulos

Rincón

2019

Eur. Phys. J. Plus

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We study relativistic non-rotating stars in the framework of Lovelock gravity. In particular, we consider the Gauss-Bonnet term in a five-dimensional spacetime, and we investigate the impact of the Gauss-Bonnet parameter on properties of the stars, both isotropic and anisotropic. For matter inside the star, we assume a relativistic gas of de-confined massless quarks. We integrate the modified Tolman-Oppenheimer-Volkoff equations numerically, and we obtain the mass-to-radius profile, the compactness of the star as well as the gravitational red-shift for several values of the Gauss-Bonnet parameter. The maximum star mass and radius are also reported. PACS. XX.XX.XX No PACS code given 1 IntroductionAlthough our observable Universe is clearly four-dimensional, the question "How many dimensions are there?" is one of the fundamental questions High Energy Physics tries to answer. Kaluza-Klein theories [1,2], supergravity [3] and Superstring/M-Theory [4,5] have pushed forward the idea that extra spatial dimensions may exist. In more than four dimensions higher order curvature terms are natural in Lovelock theory [6], and also higher order curvature corrections appear in the low-energy effective equations of Superstring Theory [7].The amount of published works in the literature reveals that Lovelock gravity is an exciting and active field. Black hole physics [8][9][10][11][12][13][14], cosmological solutions [15][16][17][18] and holographic superconductors exploiting the gauge/gravity duality [19] are some of the areas that have been explored in the framework of Lovelock gravity. However, the astrophysical implications of Lovelock theory should also be investigated. Compact objects [20][21][22], such as white dwarfs and neutron stars, are the final fate of stars, and comprise excellent cosmic laboratories to study, test and constrain new physics and/or alternative theories of gravity under extreme conditions that cannot be reached in Earth-based experiments. It is well-known that the properties of compact objects, such as mass and radius, depend both on the equation-of-state (EoS) of ultra-dense matter and on the underlying theory of gravity.A couple of years after the discovery of the neutron by James Chadwick [23,24], neutron stars were predicted to exist by Baade and Zwicky [25]. Indeed, several decades after that, the discoveries of pulsars in the Crab and Vela supernova remnants [26] led to their identification as neutron stars just one year after the discovery of pulsars in 1967 [27]. On the other hand quark matter is by assumption absolutely stable, and as such it may be the true ground state of hadronic matter [28,29]. Therefore a new class of hypothetical compact objects has been postulated to exist. These compact objects could serve as an alternative to neutron stars, and they might offer us a plausible explanation of the puzzling observation of some super-luminous supernovae [30,31], which occur in about one out of every 1000 supernovae explosions, and which are more than 100 times more luminous than regular su...

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“…During the last years, scale-dependent gravity has been used to construct black hole backgrounds both by improving classical solutions with the scale dependent couplings from Asymptotic Safety [54][55][56][57][58][59][60][61][62][63][64][65][66][67][68][69][70][71][72][73] and by solving the gap equations of a generic scale-dependent action [13][14][15][16][17][18][19][20][21][22][23][24][25][26][27][28][29]. This last approach has revealed certain non-trivial features regarding the black hole entropy and the energy conditions.…”

Section: Scale-dependent Gravitymentioning

confidence: 99%

“…where k = ±1 stands for the curvature of the horizon. It is worth mentioning that the scale-dependent system can be integrated without providing some extra information, in contrast to which occurs in lower dimensional cases [13][14][15][16][17][18][19][20][21][22][23][24][25][26][27][28][29]. To be more precice, in 2 + 1 and 3 + 1-dimensional space-times, the scale-dependent system is undeterminated: we have more unknowns that equations to be solved, so decreasing the degrees of freedom is mandatory.…”

Section: Black Holes With Spherical and Hyperbolic Horizonsmentioning

confidence: 99%

“…Therefore, it is our interest to model, if possible, the event horizon of certain black holes beyond General Relativity by some of the eight Thurston three-geometries. As a preliminary step in order to attack more general cases, in this work we will consider black hole solutions embedded in the so-called scale-dependent gravity [13][14][15][16][17][18][19][20][21][22][23][24][25][26][27][28][29] which, as it is well known, has become an alternative tool to introduce semiclassical corrections in black hole solutions in 2 + 1 and 3 + 1 dimensional spacetimes.…”

Section: Introductionmentioning

confidence: 99%

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Five-dimensional scale-dependent black holes with constant curvature and Solv horizons

2020

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In this work, we investigate five-dimensional scale-dependent black hole solutions by modelling their event horizon with some of the eight Thurston threedimensional geometries. Specifically, we construct constant curvature scale-dependent black holes and also the more exotic scale-dependent Solv black hole. These new solutions are obtained by promoting both the gravitational and the cosmological couplings to r-dependent functions, in light of a particular description of the effective action inspired by the high energy philosophy. Interestingly, the so-called running parameter, together with the topology of the event horizon, control the asymptotic structure of the solutions found. Finally, differences in both the entropy and the temperature between the classical and the scale-dependent Solv black hole are briefly commented.

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Scale-dependent Hayward black hole and the generalized uncertainty principle

Cited by 42 publications

References 83 publications

Scale-dependent planar anti-de Sitter black hole

Scale-dependent planar anti-de Sitter black hole

Relativistic strange quark stars in Lovelock gravity

Five-dimensional scale-dependent black holes with constant curvature and Solv horizons

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