Minisuperspace description of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si3.svg" display="inline" id="d1e25"><mml:mrow><mml:mi>f</mml:mi><mml:mrow><mml:mo>(</mml:mo><mml:mi>Q</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:mrow></mml:math>-cosmology

Paliathanasis, A.; Dimakis, N.; Christodoulakis, T.

doi:10.1016/j.dark.2023.101410

Physics of the Dark Universe

2024

DOI: 10.1016/j.dark.2023.101410

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Minisuperspace description of f(Q)-cosmology

A. Paliathanasis,

N. Dimakis,

T. Christodoulakis

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2024

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Cited by 7 publications

References 37 publications

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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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Maxwell‐f(Q)$f(Q)$ Theory

Nashed

2024

Fortschritte der Physik

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F(Q)$F(Q)$ Gravity with Gauss–Bonnet Corrections: From Early‐Time Inflation to Late‐Time Acceleration

Nojiri,

Odintsov

2024

Fortschritte der Physik

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The authors show that in the gravity with a non‐metricity scalar , the curvatures in Einstein's gravity, that is, the Riemann curvature constructed from the standard Levi‐Civita connection, could not be excluded or naturally appear. The first observation is that even in gravity, the conservation of the matter energy‐momentum tensor is not described by the covariant derivatives in the non‐metricity gravity but that is given by the Levi‐Civita connection. The commutator of the covariant derivatives in Einstein's gravity inevitably induces the Riemann curvature. There is no symmetry nor principle which prohibits the Riemann curvature in non‐metricity gravity. Based on this observation, the authors propose and investigate gravity with the Gauss–Bonnet invariant and its generalizations. The authors also show how models realizing any given the Friedmann–Lemaître–Robertson– Walker (FLRW) spacetime can be reconstructed. The reconstruction formalism to cosmology is applied. Explicitly, the gravity models which realize slow roll or constant roll inflation, dark energy epoch as well as the unification of the inflation and dark energy are found. The dynamical autonomous system and the gravitational wave in the theory under investigation are discussed. It is found the condition that the de Sitter spacetime becomes the (stable) fixed point of the system.

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Data reconstruction of the dynamical connection function in f(Q) cosmology

Yang,

Ren,

Wang

et al. 2024

Monthly Notices of the Royal Astronomical Society

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We employ Hubble data and Gaussian Processes in order to reconstruct the dynamical connection function in f(Q) cosmology beyond the coincident gauge. In particular, there exist three branches of connections that satisfy the torsionless and curvatureless conditions, parameterized by a new dynamical function γ. We express the redshift dependence of γ in terms of the H(z) function and the f(Q) form and parameters, and then we reconstruct it using 55 H(z) observation data. Firstly, we investigate the case where ordinary conservation law holds, and we reconstruct the f(Q) function, which is very well described by a quadratic correction on top of Symmetric Teleparallel Equivalent of General Relativity. Proceeding to the general case, we consider two of the most studied f(Q) models of the literature, namely the square-root and the exponential one. In both cases we reconstruct γ(z), and we show that according to AIC and BIC information criteria its inclusion is favoured compared to both ΛCDM paradigm, as well as to the same f(Q) models under the coincident gauge. This feature acts as an indication that f(Q) cosmology should be studied beyond the coincident gauge.

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Minisuperspace description of f(Q)-cosmology

Cited by 7 publications

References 37 publications

Maxwell‐f(Q)$f(Q)$ Theory

Maxwell‐f(Q)$f(Q)$ Theory

F(Q)$F(Q)$ Gravity with Gauss–Bonnet Corrections: From Early‐Time Inflation to Late‐Time Acceleration

Data reconstruction of the dynamical connection function in f(Q) cosmology

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