Coincident $$f(\mathbb {Q})$$ gravity: black holes, regular black holes, and black bounces

S, Johans Praveen; Rodrigues, Manuel E.

doi:10.1140/epjc/s10052-023-11660-2

Cited by 25 publications

(6 citation statements)

References 119 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…• Coincident frame: Γ α µν = 0 [92][93][94]. This is like the previous case, but with stiff anti-energy.…”

Section: Discussionmentioning

confidence: 83%

General parallel cosmology

Aguiar Gomes,

Beltrán Jiménez,

Koivisto

2023

J. Cosmol. Astropart. Phys.

View full text Add to dashboard Cite

General (tele)parallel Relativity, G∥R, is the relativistic completion of Einstein's theories of gravity. The focus of this article is the derivation of the homogeneous and isotropic solution in G∥R. The first-principles derivation, based on a non-trivial realisation of the symmetry, supersedes and unifies previous constructions of Riemannian and teleparallel cosmologies, and establishes the uniqueness of the physical solution. The constitutive law and the form of the material and inertial source currents is presented in the tensor (Palatini) formalism and adapted to the cosmological background, which exhibits novel features absent in the previously studied, static solutions to the theory. The results are contrasted with those in incomplete theories, such as sitting at the three corners of the geometrical trinity which correspond to particular reference frames in G∥R.

show abstract

“…• Coincident frame: Γ α µν = 0 [92][93][94]. This is like the previous case, but with stiff anti-energy.…”

Section: Discussionmentioning

confidence: 83%

General parallel cosmology

Aguiar Gomes,

Beltrán Jiménez,

Koivisto

2023

J. Cosmol. Astropart. Phys.

View full text Add to dashboard Cite

show abstract

“…Equations ( 30) and (31) do not satisfy all of the equations of motion, and thus taking into account the component '1, 1, 1' of the field equation, we obtain:…”

Section: Black Holes Coupled To Nled IImentioning

confidence: 99%

“…The symmetry b(r) = −a(r) is well known and is used in numerous solutions for black holes in GR. However, it is also possible to find solutions in which this symmetry is relaxed, as observed for example in [31,34,35].…”

Section: Black Holes Coupled To Nled IImentioning

confidence: 99%

“…The Bardeen solution was later reinterpreted as the gravitational field of a nonlinear magnetic monopole, namely, it was considered as a magnetic solution to the Einstein field equations coupled to a NLED [24]. This has motivated much research in regular black holes, and a plethora of methods and procedures have been explored to construct exact black hole solutions with electric or magnetic charges in GR coupled to NLED [25][26][27][28][29][30][31]. However, it was stressed in [32], that considering spherically symmetric configurations in GR, supported by nonlinear electromagnetic fields with gauge-invariant Lagrangians depending on the single invariant F = 1 4 F µν F µν , only pure magnetic solutions can be completely nonsingular.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

(Regular) Black holes in conformal Killing gravity coupled to nonlinear electrodynamics and scalar fields

Junior,

Lobo,

Rodrigues

2024

Class. Quantum Grav.

Self Cite

View full text Add to dashboard Cite

In this work, we explore new solutions with static and spherical symmetry in $4D$ for black holes and regular black holes in the recently proposed Conformal Killing Gravity (CKG). This theory is of third order in the derivatives of the metric tensor and essentially satisfies three theoretical criteria for gravitational theories beyond General Relativity (GR). The criteria essentially stipulate the following, that one should: (i) obtain the cosmological constant as an integration constant; (ii) derive the energy conservation law as a consequence of the field equations, rather than assuming it; (iii) and not necessarily consider conformally flat metrics as vacuum solutions. In fact, existing modified theories of gravity, including GR, do not simultaneously fulfil all of these three criteria. Here, we couple CKG to nonlinear electrodynamics (NLED) and scalar fields, and we explore solutions of black holes and regular black holes. More specifically, by solving the field equations of CKG, we find specific forms for the NLED Lagrangian, the scalar field and the field potential, and analyse the regularity of the solutions through the Kretschmann scalar. We find generalizations of the Schwarschild--Reissner-Nordstr\"{o}m--AdS solutions, and consequently further extend the class of (regular) black hole solutions found in the literature.

show abstract

“…Particular forms of the f (Q) function have been demonstrated to alleviate the σ8 tension [5], whereas others enable a more accurate representation of cosmological data [6][7][8]. Recently, some interesting cosmological implications of the f (Q) gravity in the different context have been appeared, for instance, Black hole physics [9,10], Neutrino physics [11], Quantum cosmology [12,13], Bouncing Cosmology [14], Inflation [15], Phantom cosmology [16], Astrophysical objects [17,18], Cosmological perturbations [19], BBN constraints [20], and many others [21][22][23][24][25].…”

Section: Introductionmentioning

confidence: 99%

Dynamical system analysis of scalar field cosmology in coincident f(Q) gravity

Ghosh,

Solanki,

Sahoo

2024

Phys. Scr.

View full text Add to dashboard Cite

In this article, we investigate scalar field cosmology in the coincident $f(Q)$ gravity formalism. We calculate the motion equations of $f(Q)$ gravity under the flat Friedmann-Lema\^{i}tre-Robertson-Walker background in the presence of a scalar field. We consider a non-linear $f(Q)$ model, particularly $f(Q)=-Q+\alpha Q^n$, which is nothing but a polynomial correction to the STEGR case. Further, we assumed two well-known specific forms of the potential function, specifically the exponential from $V(\phi)= V_0 e^{-\beta \phi}$ and the power-law form $V(\phi)= V_0\phi^{-k}$. We employ some phase-space variables and transform the cosmological field equations into an autonomous system. We calculate the critical points of the corresponding autonomous systems and examine their stability behaviors. We discuss the physical significance corresponding to the exponential case for parameter values $n=2$ and $n=-1$ with $\beta=1$, and $n=-1$ with $\beta=\sqrt{3}$. Moreover, we discuss the same corresponding to the power-law case for the parameter value $n=-2$ and $k=0.16$. We also analyze the behavior of corresponding cosmological parameters such as scalar field and dark energy density, deceleration, and the effective equation of state parameter. Corresponding to the exponential case, we find that the results obtained for the parameter constraints in Case III is better among all three cases, and that represents the evolution of the universe from a decelerated stiff era to an accelerated de-Sitter era via matter-dominated epoch. Further, in the power-law case, we find that all trajectories exhibit identical behavior, representing the evolution of the universe from a decelerated stiff era to an accelerated de-Sitter era. Lastly, we conclude that the exponential case shows better evolution as compared to the power-law case.

show abstract

Coincident $$f(\mathbb {Q})$$ gravity: black holes, regular black holes, and black bounces

Cited by 25 publications

References 119 publications

General parallel cosmology

General parallel cosmology

(Regular) Black holes in conformal Killing gravity coupled to nonlinear electrodynamics and scalar fields

Dynamical system analysis of scalar field cosmology in coincident f(Q) gravity

Contact Info

Product

Resources

About