Teleparallel Equivalent of Lovelock Gravity, Generalizations and Cosmological Applications

Abstract

We consider the teleparallel equivalent of Lovelock gravity and its natural extension, where the action is given by an arbitrary function $f(T_{{}_{L_1}},T_{{}_{L_2}},\cdot \cdot \cdot ,T_{{}_{L_n}})$ of the torsion invariants $T_{{}_{L_i}}$, which contain higher order torsion terms, and derive its field equations. Then, we consider the special case of $f(T_{{}_{L_1}},T_{{}_{L_2}})$ gravity and study a cosmological scenario by selecting a particular $f(T_{{}_{L_1}},T_{{}_{L_2}})$, and derive the Friedmann equations. Also, we perform a dynamical systems analysis to extract information on the evolution of the cosmological model. Mainly, we find that the model has a very rich phenomenology and can describe the acceleration of the universe at late times

arXiv commentVersion accepted for publication in JCAP

References in corpus (53)

• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• Extended Theories of Gravity
• Modified Gravity Theories on a Nutshell: Inflation, Bounce and Late-time Evolution
• f(T) teleparallel gravity and cosmology
• Dark torsion as the cosmic speed-up
• Modified teleparallel gravity: inflation without inflaton
• Einstein's Other Gravity and the Acceleration of the Universe
• f(T) Gravity and local Lorentz invariance
• On Born-Infeld Gravity in Weitzenbock spacetime
• Cosmological perturbations in f(T) gravity
• The covariant formulation of f(T) gravity
• Modified teleparallel theories of gravity
• "Teleparallel" Dark Energy
• Teleparallel equivalent of Gauss-Bonnet gravity and its modifications
• Large-scale Structure in f(T) Gravity
• Spherically symmetric static spacetimes in vacuum f(T) gravity
• On the covariance of teleparallel gravity theories
• Static Solutions with Spherical Symmetry in f(T) Theories
• Dynamical behavior in $f(T,T_G)$ cosmology
• New Schwarzschild-like solutions in f(T) gravity through Noether symmetries
• Static Anisotropic Solutions in f(T) Theory
• Exact charged black-hole solutions in D-dimensional f(T) gravity: torsion vs curvature analysis
• Covariant formulation of scalar-torsion gravity
• Cosmological applications of $F(T,T_G)$ gravity
• Cosmological perturbations in modified teleparallel gravity models
• New Static Solutions in f(T) Theory
• New classes of modified teleparallel gravity models
• Cosmological Perturbation in f(T) Gravity Revisited
• Hamiltonian formalism for f(T) gravity
• Translation of Einstein's Attempt of a Unified Field Theory with Teleparallelism
• Circularly symmetric solutions in three-dimensional Teleparallel, f(T) and Maxwell-f(T) gravity
• Effective $F(T)$ gravity from the higher-dimensional Kaluza-Klein and Randall-Sundrum theories
• A spherically-symmetric charged-dS solution in f(T) gravity theories
• Dynamical systems approach and generic properties of $f(T)$ cosmology
• Rotating AdS black holes in Maxwell-$f(T)$ gravity
• A special exact spherically symmetric solution in f(T) gravity theories
• Scalar-torsion theories of gravity III: analogue of scalar-tensor gravity and conformal invariants
• Self-Gravitating Spherically Symmetric Solutions in Scalar-Torsion Theories
• Scalar-torsion theories of gravity I: general formalism and conformal transformations
• Scalar-torsion theories of gravity II: $L(T,X,Y,\varphi )$ theory
• Quest for the extra degree of freedom in f(T) gravity
• Teleparallel Equivalent of Lovelock Gravity
• Vacuum spherically symmetric solutions in $f(T)$ gravity
• Charged Black Holes in Generalized Teleparallel Gravity
• Kaluza-Klein theory for teleparallel gravity
• Compact extra dimensions in cosmologies with f(T) structure
• The regular black hole in four dimensional Born-Infeld gravity
• Hyperscaling violating black holes in scalar-torsion theories
• Some cosmological models coming from gravitational theories having torsional degrees of freedom
• Consistent Gravitationally-Coupled Spin-2 Field Theory
• Three-Dimensional Hairy Black Holes in Teleparallel Gravity
• Magnetic black holes in Weitzenböck geometry
• Teleparallel equivalent of higher dimensional gravity theories

Cited by in corpus (11)

• Teleparallel Gravity: From Theory to Cosmology
• Dynamical complexity of the Teleparallel gravity cosmology
• Classification of Teleparallel Horndeski Cosmology via Noether Symmetries
• Well-tempered teleparallel Horndeski cosmology: a teleparallel variation to the cosmological constant problem
• String-inspired Teleparallel Cosmology
• Generalised Proca Theories in Teleparallel Gravity
• Teleparallel gravity as a gauge theory: coupling to matter with Cartan connection
• Entanglement production in Einstein-Cartan theory
• Gravitational Wave Propagation and Polarizations in the Teleparallel analog of Horndeski Gravity
• Cartan approach to Teleparallel Equivalent to General Relativity: a review
• D=11 cosmologies with teleparallel structure