Black hole solutions in scalar-tensor symmetric teleparallel gravity

Bahamonde, Sebastián; Valcárcel, Jorge Gigante; Järv, Laur; Lember, Joosep

doi:10.1088/1475-7516/2022/08/082

Cited by 23 publications

(14 citation statements)

References 108 publications

(133 reference statements)

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“…as well as some geometric indentities the field equations arising from the variation of the action (12) with respect to the metric, symmetric teleparallel connection, and scalar field are [15,35] A( )…”

Section: Action and Field Equationsmentioning

confidence: 99%

“…When the parameters c and k are zero, the qualitative features of the system (39) change and the solution (40) does not give a correct coordinate transformation since the Jacobian determinant (41) vanishes. However, the case c = k = 0 is important as it leads to nontrivial balck hole solutions in f (Q) [32] and scalar-tensor [35] symmetric teleparallel gravity. Therefore we need to tackle the equations (26) for the connection set 2 (see Eq.…”

Section: Connection Set 2 Special Case (Branch 2)mentioning

confidence: 99%

“…while the nonmetricity scalar ( 9) is another long expression (can be found explicitly in Refs. [32,35]). Again, for arbitrary c, k there is no choice of the free functions t θθ , t rr , r θθ , r rr that could make the nonmetricity tensor and nonmetricity scalar to vanish in the Minkowski metric case.…”

Section: Connection Set 2 Branchmentioning

confidence: 99%

“…In this light perhaps it was not just a coincidence that only for set 2 branch 2 the black hole solutions were found in Refs. [32,35], while set 2 branch 1 runs into troubles with asymptotic flatness [35]. Although further detailed investigation is welcome, it is plausible that only set 2 branch 2 connection is a physically meaningful choice.…”

Section: Connection Set 2 Branchmentioning

confidence: 99%

“…The BBMB metric was originally found as a solution in the usual metric and torsion free scalar-tensor theory with a vanishing potential but a different form of the coupling function A( ) to the curvature scalar • R. Deeper reasons why this solution exists in the scalar-tensor versions of symmetric teleparallelism based on nonmetricity [35] as well as metric teleparallelism based on torsion [40] remain to be understood.…”

Section: Diagonal Formmentioning

confidence: 99%

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Coincident gauge for static spherical field configurations in symmetric teleparallel gravity

Bahamonde

Järv

2022

Eur. Phys. J. C

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In symmetric teleparallel gravities, where the independent connection is characterized by nonmetricity while curvature and torsion are zero, it is possible to find a coordinate system whereby the connection vanishes globally and covariant derivatives reduce to partial derivatives – the coincident gauge. In this paper we derive general transformation rules into the coincident gauge for spacetime configurations where the both the metric and connection are static and spherically symmetric, and write out the respective form of the coincident gauge metrics. Taking different options in fixing the freedom in the connection allowed by the symmetry and the field equations, the Schwarzschild metric in the coincident gauge can take for instance the Cartesian, Kerr–Schild, and diagonal (isotropic-like) forms, while the BBMB black hole metric in symmetric teleparallel scalar–tensor theory a certain diagonal form fits the coincident gauge requirements but the Cartesian and Kerr–Schild forms do not. Different connections imply different value for the boundary term which could in principle be physically relevant, but simple arguments about the coincident gauge do not seem to be sufficient to fix the connection uniquely. As a byproduct of the investigation we also point out that only a particular subset of static spherically symmetric connections has vanishing nonmetricity in the Minkowski limit.

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Section: Action and Field Equationsmentioning

confidence: 99%

Section: Connection Set 2 Special Case (Branch 2)mentioning

confidence: 99%

Section: Connection Set 2 Branchmentioning

confidence: 99%

Section: Connection Set 2 Branchmentioning

confidence: 99%

Section: Diagonal Formmentioning

confidence: 99%

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Coincident gauge for static spherical field configurations in symmetric teleparallel gravity

Bahamonde

Järv

2022

Eur. Phys. J. C

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Phantom Cosmological Model with Observational Constraints in f(Q)$f(Q)$ Gravity

Narawade

Mishra

2023

Annalen der Physik

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In this paper, the cosmological model of the Universe has been presented in ffalse(Qfalse)$f(Q)$ gravity and the parameters are constrained from the cosmological data sets. At the beginning, a well motivated form of f(Q)=α+βQn$f(Q) = \alpha + \beta Q^{n}$ has been employed, where α, β, and n are model parameters. The Hubble parameter is obtained in redshift with some algebraic manipulation from the considered form of ffalse(Qfalse)$f(Q)$. Then it is parameterized with the recent Hubble$\text{Hubble}$ data and Pantheon+SHOES$\text{Pantheon} + \text{SHOES}$ data using Markov chain Monte Carlo analysis. The obtained model parameter values are validated with the baryon acoustic oscillation data set. A parametrization of the cosmographic parameters shows the early deceleration and late time acceleration with the transition at zt≈0.75$z_\text{t}\approx 0.75$. The Omfalse(zfalse)$Om(z)$ diagnostics gives positive slope which shows that the model is in the phantom phase. Also the current age of the Universe has been obtained as, t0=13.853.33333pt3.33333ptGyrs$t_{0} = 13.85\nobreakspace \nobreakspace \text{Gyrs}$. Based on the present analysis, it indicates that the ffalse(Qfalse)$f(Q)$ gravity may provide an alternative to dark energy for addressing the current cosmic acceleration.

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Maxwell‐f(Q)$f(Q)$ Theory

Nashed

2024

Fortschritte der Physik

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Exploring the four‐dimensional AdS black hole is crucial within the framework of the AdS/CFT correspondence. In this research, four‐dimensional stationary and rotating AdS solutions in the framework of the gravitational theory are investigated, considering the charged scenario. Author's emphasis is on the power‐law ansatz, which consistent with observations and is deemed the most viable. Because this solution does not have an uncharged version or relate to general relativity, it falls into a new category, which derives its features from changes in non‐metricity and incorporates the Maxwell domain. The singularities of such a solution are analyzed, computing all the quantities of different curvature and non‐metricity invariants. Author's results indicate the presence of a central singularity, albeit with a softer nature compared to standard non‐metricity or Einstein general relativity, attributed to the influence of the effect of . Several physical characteristics of black hole from thermodynamics perspective and demonstrate the existence of an outer event horizon in addition to the inner Cauchy horizons are examined. However, under the conditions of sufficiently large electric charge, a naked singularity emerges. Finally, a class of rotating black hole in four‐dimensional gravity that are asymptotically anti‐de Sitter charged is derived.

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Black hole solutions in scalar-tensor symmetric teleparallel gravity

Cited by 23 publications

References 108 publications

Coincident gauge for static spherical field configurations in symmetric teleparallel gravity

Coincident gauge for static spherical field configurations in symmetric teleparallel gravity

Phantom Cosmological Model with Observational Constraints in f(Q)$f(Q)$ Gravity

Maxwell‐f(Q)$f(Q)$ Theory

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