Cosmological bouncing solutions in extended teleparallel gravity theories

Abstract

In the context of extended Teleparallel gravity theories with a 3+1 dimensions Gauss-Bonnet analog term, we address the possibility of these theories reproducing several well-known cosmological bouncing scenarios in a four-dimensional Friedmann-Lemaître-Robertson-Walker geometry. We shall study which types of gravitational Lagrangians are capable of reconstructing bouncing solutions provided by analytical expressions for symmetric, oscillatory, superbounce, the matter bounce and singular bounce. Some of the Lagrangians discovered are both analytical at the origin having Minkowski and Schwarzschild as vacuum solutions. All these results open the possibility up for such theories to be competitive candidates of extended theories of gravity in cosmological scales.

30 pages, 1 figure

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Cited by in corpus (33)

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• Cosmological bouncing solutions in f(T,B) gravity
• Bouncing cosmology in $f(R,T)$ gravity
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• Constraining Teleparallel Gravity through Gaussian Processes
• Bouncing scenario in $f(R,T)$ gravity
• Reconstructing teleparallel gravity with cosmic structure growth and expansion rate data
• Matter Bounce Scenario in Extended Symmetric Teleparallel Gravity
• Fundamental Symmetries and Spacetime Geometries in Gauge Theories of Gravity: Prospects for Unified Field Theories
• Impact of $H_0$ priors on $f(T)$ late time cosmology
• Correction to Lagrangian for Bouncing Cosmologies in $f(Q)$ Gravity
• Reconstruction and Stability Analysis of Some Cosmological Bouncing Solutions in $F(\mathcal{R},T)$ Theory
• Dynamical complexity of the Teleparallel gravity cosmology
• Cosmographic analysis of a closed bouncing universe with the varying cosmological constant in $f(R,T)$ gravity
• Classification of Teleparallel Horndeski Cosmology via Noether Symmetries
• Non-Local Curvature and Gauss-Bonnet Cosmologies by Noether Symmetries
• Bounce Models within Teleparallel modified gravity
• Role of Extended Gravity Theory in Matter Bounce Dynamics
• Bouncing solutions in $f(T)$ gravity
• Observational Constraints and Cosmographic Analysis of $f(T,T_G)$ Gravity and Cosmology
• Noether Symmetries in $f(T,T_G)$ Cosmology
• Dynamical Complexity in Teleparallel Gauss-Bonnet Gravity
• Bouncing behavior in $f(R,L_m)$ gravity: Phantom crossing and energy conditions
• Reconstruction of $f(T,\mathcal{T})$ Lagrangian for various cosmological scenarios
• Constraining $f(T,B,T_G,B_G)$ gravity by dynamical system analysis
• Evolution of Generalized Brans-Dicke parameter within a Superbounce scenario
• Propagating Gravitational Waves in Teleparallel Gauss-Bonnet Gravity
• Focusing conditions for extended teleparallel gravity theories
• A non-singular closed bouncing universe without violation of null energy condition
• Finite scale factor and future singularities
• Gauge invariant perturbations of $F(T,T_G)$ Cosmology
• Growth factor in teleparallel Gauss-Bonnet gravity