Einstein-Gauss-Bonnet-Myrzakulov Gravity from $R+F(T,G)$: Numerical Insights and Torsion-Gauss-Bonnet Dynamics in Weitzenböck Spacetime

Abstract

The study of modified gravity models has garnered significant attention because of their potential to provide alternative explanations for cosmological phenomena, such as the accelerated expansion of the universe and the nature of dark energy. One such model, the Einstein-Gauss-Bonnet-Myrzakulov $R+F(T,G)$ gravity (EGBMG), which incorporates the curvature $R$, torsion $T$, and the Gauss-Bonnet term $G$, offers a promising framework to explore the dynamics of the universe and its evolution. This paper delves into the theoretical and observational implications of the EGBMG model, focusing on its ability to address long-standing challenges in cosmology, including the evolution of dark energy and the transition from early-time inflationary behavior to late-time acceleration. We review recent advancements in the model, including its compatibility with observational data and its ability to provide new insights into cosmic acceleration. Through a combination of theoretical models, dynamical systems analysis, and cosmological diagnostics, we demonstrate the robustness of the EGBMG framework in explaining the large-scale structure of the universe and its accelerated expansion. This paper serves as a step toward further exploring the potential of this model to understand the fundamental forces driving Weitzenb$\ddot{o}$ck spacetime.

arXiv comment41 pages, 7 figures, published in Nuclear Physics B

References in corpus (42)

• GW170817: Observation of Gravitational Waves from a Binary Neutron Star Inspiral
• Extended Theories of Gravity
• f(T) teleparallel gravity and cosmology
• Modified Gauss-Bonnet theory as gravitational alternative for dark energy
• Dark torsion as the cosmic speed-up
• Modified teleparallel gravity: inflation without inflaton
• Extended Theories of Gravity and their Cosmological and Astrophysical Applications
• The covariant formulation of f(T) gravity
• Reconstruction of $f(T)$ gravity: Rip cosmology, finite-time future singularities and thermodynamics
• Teleparallel equivalent of Gauss-Bonnet gravity and its modifications
• FRW Cosmology in F(R,T) gravity
• Viable f(T) models are practically indistinguishable from LCDM
• Conformal symmetry and accelerating cosmology in teleparallel gravity
• Polarization of gravitational waves in symmetric teleparallel theories of gravity and their modifications
• Gravitational Waves in Modified Teleparallel Theories
• Trace-anomaly driven inflation in $f(T)$ gravity and in minimal massive bigravity
• Interpreting cosmological tensions from the effective field theory of torsional gravity
• Effective $F(T)$ gravity from the higher-dimensional Kaluza-Klein and Randall-Sundrum theories
• Conformal Gravity and Transformations in the Symmetric Teleparallel Framework
• Rotating AdS black holes in Maxwell-$f(T)$ gravity
• Constraining $f(R)$ gravity by the Large Scale Structure
• Gaussian processes and effective field theory of $f(T)$ gravity under the $H_0$ tension
• Quasinormal modes of black holes in f(T) gravity
• Gravitational waves in modified teleparallel theories of gravity
• Effective gravitational coupling in modified teleparallel theories
• Cosmological applications of Myrzakulov gravity
• Noether Symmetry Approach for teleparallel-curvature cosmology
• Considerations on gravitational waves in higher-order local and non-local gravity
• New test on general relativity and $f(T)$ torsional gravity from galaxy-galaxy weak lensing surveys
• Gravitationally Induced Particle Production through a Nonminimal Torsion-Matter Coupling
• Finsler-Randers-Sasaki gravity and cosmology
• Dynamical system analysis of Myrzakulov gravity
• Exact Cosmology in Myrzakulov Gravity
• General Effective Field Theory of Teleparallel Gravity
• Big Bang Nucleosynthesis constraints on $f(T,T_G)$ gravity
• Transit cosmological models in Myrzakulov F(R,T) gravity theory
• $f(T)$ cosmology: From Pseudo-Bang to Pseudo-Rip
• Observational Constraints and Cosmographic Analysis of $f(T,T_G)$ Gravity and Cosmology
• Myrzakulov $F(T,Q)$ gravity: cosmological implications and constraints
• Myrzakulov Gravity in Vielbein Formalism: A Study in Weitzenböck Spacetime
• Metric-Affine Myrzakulov Gravity Theories: Models, Applications and Theoretical Developments
• Cosmological Study in Myrzakulov $F(R,T)$ Quasi-dilaton Massive Gravity

Cited by in corpus (4)

• Inflation in Myrzakulov $F(R,T)$ Gravity: A Comparative Study in Metric, Symmetric Teleparallel, and Weitzenböck Formalisms
• Cosmological Reconstructions in Einstein--Cartan--Myrzakulov Gravity with Torsion and Non-Metricity in the Weitzenböck Geometrical Sector
• Dark Matter Constraints in Myrzakulov $F(R,T)$ Gravity: A Vielbein Approach in Weitzenböck Spacetime with Observational Data
• Wald Entropy in Extended Modified Myrzakulov Gravity Theories: \(f(R, T, Q, R_{μν}T^{μν}, R_{μν}Q^{μν}, \dots)\)