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We investigate the dynamics of the Friedmann-Lema\^itre-Robertson-Walker spacetime within the framework of $f(R)$ gravity using a compact, model-independent dynamical systems approach. By assuming a power-law scale factor, we explore…

General Relativity and Quantum Cosmology · Physics 2025-12-10 Saurya Das , Peter Dunsby , S. Shajidul Haque , Seturumane Tema

We study a broad class of isotropic vacuum cosmologies in fourth-order gravity under the condition that the gravitational Lagrangian be scale-invariant or almost scale-invariant. The gravitational Lagrangians considered will be of the form…

General Relativity and Quantum Cosmology · Physics 2013-06-12 H. -J. Schmidt , D. Singleton

In this letter, we argue that the past of the Universe, extrapolated from standard physics and measured cosmological parameters, might be a non-singular bounce. We also show that, in this framework, quite stringent constraints can be put on…

General Relativity and Quantum Cosmology · Physics 2020-07-15 Aurélien Barrau

We provide an $F(R)$ gravity description of a $\Lambda$CDM bouncing model, without the need for matter fluids or for cosmological constant. As we explicitly demonstrate, the two cosmological eras that constitute the $\Lambda$CDM bouncing…

General Relativity and Quantum Cosmology · Physics 2015-06-23 S. D. Odintsov , V. K. Oikonomou

Generic models in Galileons or Horndeski theory do not have cosmological solutions that are free of instabilities and singularities in the entire time of evolution. We extend this No-Go theorem to a spacetime with torsion. On this more…

High Energy Physics - Theory · Physics 2024-07-22 S. Mironov , M. Valencia-Villegas

We consider a generalized Einstein-Cartan theory, in which we add the unique covariant dimension four operators to general relativity that couples fermionic spin current to the torsion tensor (with an arbitrary strength). Since torsion is…

General Relativity and Quantum Cosmology · Physics 2017-11-01 Stefano Lucat , Tomislav Prokopec

We present a stable cosmological model of a closed universe in the presence of conventional scalar field. The stability of the model and absence of singularity is ensured by spatial curvature without the need for additional peculiar matter.…

General Relativity and Quantum Cosmology · Physics 2025-04-29 Rinat Kagirov

In this paper, I construct a class of everywhere regular geometric sigma models that possess bouncing solutions. Precisely, I show that every bouncing metric can be made a solution of such a model. My previous attempt to do so by employing…

General Relativity and Quantum Cosmology · Physics 2017-06-14 Milovan Vasilić

We study the bounce and cyclicity realization in the framework of new gravitational scalar-tensor theories. In these theories the Lagrangian contains the Ricci scalar and its first and second derivatives, in a specific combination that…

General Relativity and Quantum Cosmology · Physics 2018-09-19 Emmanuel N. Saridakis , Shreya Banerjee , R. Myrzakulov

We study a recently proposed scenario for the early universe: Subluminal Galilean Genesis. We prove that without any other matter present in the spatially flat Friedmann universe, the perturbations of the Galileon scalar field propagate…

High Energy Physics - Theory · Physics 2013-07-11 Damien A. Easson , Ignacy Sawicki , Alexander Vikman

We study the expansion of the Universe using an effective Friedmann equation obtained from the dynamics of GFT (Group Field Theory) isotropic condensates. The evolution equations are classical, with quantum correction terms to the Friedmann…

General Relativity and Quantum Cosmology · Physics 2016-11-24 Marco de Cesare , Mairi Sakellariadou

As an alternative to the paradigm of slow roll inflation, we propose an extended scenario of the matter bounce cosmology in which the Universe has experienced a quasi-matter contracting phase with a variable background equation of state…

General Relativity and Quantum Cosmology · Physics 2015-09-04 Jaume de Haro , Yi-Fu Cai

It is generically believed that higher-order curvature corrections to the Einstein-Hilbert action might cure the curvature singularities that plague general relativity. Here we consider Einstein-scalar-Gauss-Bonnet gravity, the only…

General Relativity and Quantum Cosmology · Physics 2017-12-27 Laura Sberna , Paolo Pani

We clarify the properties of the behavior of classical cosmological perturbations when the Universe experiences a bounce. This is done in the simplest possible case for which gravity is described by general relativity and the matter content…

High Energy Physics - Theory · Physics 2009-11-10 Jerome Martin , Patrick Peter

We present a full investigation of scalar perturbations in a rather generic model for a regular bouncing universe, where the bounce is triggered by an effective perfect fluid with negative energy density. Long before and after the bounce…

General Relativity and Quantum Cosmology · Physics 2009-07-09 V. Bozza , G. Veneziano

Non-perturbative quantum geometric effects in Loop Quantum Cosmology predict a $\rho^2$ modification to the Friedmann equation at high energies. The quadratic term is negative definite and can lead to generic bounces when the matter energy…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Parampreet Singh , Kevin Vandersloot , G. V. Vereshchagin

We construct a Born-Infeld-type $f(R,{\cal G})$ modification of gravity, where ${\cal G}$ is the Gauss-Bonnet term, by embedding Born-Infeld electrodynamics in a five-dimensional pure modified gravity. This method leads to the…

General Relativity and Quantum Cosmology · Physics 2026-04-30 Yermek Aldabergenov , Wei Lin , Rongjian Li , Ding Ding , Yidun Wan

The Asymptotically Safe Gravity provides a framework for the description of gravity from the trans-Planckian regime to cosmological scales. According to this scenario, the cosmological constant and Newton's coupling are functions of the…

General Relativity and Quantum Cosmology · Physics 2018-03-14 Alfio Bonanno , Gabriele Gionti , Alessia Platania

A very simple non-singular inflationary model is presented where the unique matter content is a radiation fluid. The model slowly contracts from a very large, almost empty and flat spacetime and realizes a bounce. It is then launched to a…

General Relativity and Quantum Cosmology · Physics 2024-03-08 Piero A. P. Molinari , Paola C. M. Delgado , Rodrigo F. Pinheiro , Nelson Pinto-Neto

This essay is a brief review of the recent studies of non-singular cosmological scenarios with bounce and Genesis and their stability in a subclass of scalar-tensor theories with higher derivatives -- beyond Horndeski theories. We discuss…

High Energy Physics - Theory · Physics 2019-09-13 S. Mironov , V. Rubakov , V. Volkova
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