Cosmological bouncing solutions in f(T,B) gravity

Abstract

Teleparallel Gravity offers the possibility of reformulating gravity in terms of torsion by exchanging the Levi-Civita connection with the Weitzenböck connection which describes torsion rather than curvature. Surprisingly, Teleparallel Gravity can be formulated to be equivalent to general relativity for a appropriate setup. Our interest lies in exploring an extension of this theory in which the Lagrangian takes the form of $f(T,B)$ where T and B are two scalars that characterize the equivalency with general relativity. In this work, we explore the possible of reproducing well-known cosmological bouncing scenarios in the flat Friedmann-Lemaître-Robertson-Walker geometry using this approach to gravity. We study the types of gravitational Lagrangians which are capable of reconstructing analytical solutions for symmetric, oscillatory, superbounce, matter bounce, and singular bounce settings. These new cosmologically inspired models may have an effect on gravitational phenomena at other cosmological scales.

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Cited by in corpus (45)

• Teleparallel Gravity: From Theory to Cosmology
• Matter Bounce Scenario and the Dynamical aspects in f(Q,T) Gravity
• Black Holes in $f(T,B)$ Gravity: Exact and Perturbed Solutions
• Minisuperspace quantum cosmology in $f(Q)$ gravity
• Matter Bounce Scenario in Extended Symmetric Teleparallel Gravity
• An Axially Symmetric Transitioning models with Observational Constraints
• A non-singular bouncing cosmology in $f(R,T)$ gravity
• Thick brane in f(T,B) gravity
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• Correction to Lagrangian for Bouncing Cosmologies in $f(Q)$ Gravity
• Dynamical complexity of the Teleparallel gravity cosmology
• Reconstruction and Stability Analysis of Some Cosmological Bouncing Solutions in $F(\mathcal{R},T)$ Theory
• Dynamical system analysis in teleparallel gravity with boundary term
• Testing Born-Infeld $f(T)$ teleparallel gravity through Sgr A${}^{\star }$ observations
• Bouncing cosmology in modified gravity with higher-order Gauss-Bonnet curvature term
• $f(R,T)$ Gravity Bouncing Universe with Cosmological Parameters
• Fermion localization in braneworld teleparallel f(T,B) gravity
• Non-Local Curvature and Gauss-Bonnet Cosmologies by Noether Symmetries
• Bouncing cosmological models in $f(R,L_m)$ gravity
• Bouncing cosmology in extended gravity and its reconstruction as dark energy model
• Bounce Models within Teleparallel modified gravity
• Alleviating $H_0$ tension in scalar-tensor and bi-scalar-tensor theories
• Role of Extended Gravity Theory in Matter Bounce Dynamics
• Big Bang Nucleosynthesis constraints on $f(T,T_G)$ gravity
• Accelerating Cosmological Models in $f(T,B)$ Gravitational Theory
• Bouncing solutions in $f(T)$ gravity
• Localization of abelian gauge fields with Stueckelberg-like geometrical coupling on $f(T,B)$-thick brane
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• Minisuperspace Quantization of $f\left(T,B\right)$ Cosmology
• $f(T)$ Cosmology with Nonzero Curvature
• $f(T,B)$ Gravity in the late Universe in the context of local measurements
• $f(T,B)$ gravity in a Friedmann-Lema\^ıtre-Robertson-Walker universe with nonzero spatial curvature
• Dynamical features of $f(T,B)$ cosmology
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• $O(d,d)$ symmetry in teleparallel dark energy
• Kalb-Ramond field induced cosmological bounce in generalized teleparallel gravity
• $f(T,B)$ cosmography for high redshifts