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Cosmological bouncing solutions in f(T,B) gravity
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abstract
Teleparallel Gravity offers the possibility of reformulating gravity in terms of torsion by exchanging the Levi-Civita connection with the Weitzenb\"ock 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-Lema\^itre-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.
Forward citations
Cited by 4 Pith papers
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Degenerate and connection-dependent cosmological sectors in f(Q,C) gravity
Connection field equations force a degenerate f(R)-equivalent sector of f(Q,C) cosmology in which three geometric connections coincide, and only nonzero integration constants make the connections physically distinct.
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Charged black hole solutions in $f(R,T)$ gravity coupled to nonlinear electrodynamics
The authors derive a family of charged black hole metrics in f(R,T)=R+βT gravity with Lagrangian L=f0+F+αF^p, show they have curvature singularities at the origin, and use the Sgr A* shadow to place weak upper bounds ...
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Cosmological solutions in teleparallel $F(T,B)$ gravity
A catalog of power-law F(T,B) gravity functions that solve teleparallel Robertson-Walker field equations for linear, quadratic, and scalar-field sources.
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Bouncing Cosmology in Interacting Scalar-Torsion Gravity
Two interacting scalar-torsion models are shown, by tuned numerical construction, to host a matter bounce with phantom equation of state and NEC violation at the bounce epoch.
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