Noether symmetry of Palatini F(ℜ) gravity

Sk, Nayem

doi:10.1142/s0219887818500469

Cited by 3 publications

(2 citation statements)

References 60 publications

(96 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Together, they restrict n = 3 2 leading to a coasting cosmology. An analogous restriction appears in f ( • R) theories where the model reduces to f ( 738], a result which also holds true in the Palatini formulation [982]. Despite this similarity, the resulting cosmological behaviors are distinctively different from one another due to the fundamental differences between the two theories.…”

Section: Noether's Symmetry Approachmentioning

confidence: 81%

Teleparallel Gravity: From Theory to Cosmology

Bahamonde¹,

Dialektopoulos²,

Escamilla-Rivera³

et al. 2021

Preprint

123

259

View full text Add to dashboard Cite

Equation of State LHS Left hand side RHS Right hand side STEGR Symmetric teleparallel equivalent of general relativity TEGB Teleparallel equivalent of the Gauss-Bonnet PPN Parameterized post-Newtonian formalism SN Supernova (we use abbreviations SNeIa and SNIa to refer to supernova type 1a) BAO Baryonic Acoustic Oscillations CC Cosmic Chronometers DE Dark energy HDE Holographic Dark Energy QCD Quantum Chromodynamics PlDE Pilgrim Dark Energy CMB Cosmic Microwave Background WMAP Wilkinson Microwave Anisotropy Probe SVT Scalar-Vector-Tensor VLBI Very Long Baseline Interferometry SH0ES Supernova H0 for the Equation of State TRGB Tip of the red-giant branch TDCOSMO Time-delay Cosmography vi

show abstract

Section: Noether's Symmetry Approachmentioning

confidence: 81%

Teleparallel Gravity: From Theory to Cosmology

Bahamonde¹,

Dialektopoulos²,

Escamilla-Rivera³

et al. 2021

Preprint

123

259

View full text Add to dashboard Cite

show abstract

“…Together, they restrict n = 3 2 leading to a coasting cosmology. An analogous restriction appears in f ( • R) theories where the model reduces to f ( 418], a result which also holds true in the Palatini formulation [419]. Despite this similarity, the resulting cosmological behaviors are distinctively different from one another due to the fundamental differences between the two theories.…”

Section: Noether's Symmetry Approachmentioning

confidence: 81%

Teleparallel gravity: from theory to cosmology

et al. 2023

View full text Add to dashboard Cite

Teleparallel gravity has significantly increased in popularity in recent decades, bringing attention to Einstein’s other theory of gravity. In this Review, we give a comprehensive introduction to how teleparallel geometry is developed as a gauge theory of translations together with all the other properties of gauge field theory. We also related this form of geometry to the broader metric-affine approach to forming gravitational theories where we describe a systematic way of constructing consistent teleparallel theories that respect certain physical conditions such as local Lorentz invariance. We first use teleparallel gravity to formulate a teleparallel equivalent of general relativity which is dynamically equivalent to general relativity but which may have different behaviors for other scenarios, such as quantum gravity. After setting this foundation, we describe the plethora of modified teleparallel theories of gravity that have been proposed in the literature. We attempt to connect them together into general classes of covariant gravitational theories. Of particular interest, we highlight the recent proposal of a teleparallel analogue of Horndeski gravity which offers the possibility of reviving all of the regular Horndeski contributions. In the second part of the Review, we first survey works in teleparallel astrophysics literature where we focus on the open questions in this regime of physics. We then discuss the cosmological consequences for the various formulations of teleparallel gravity. We do this at background level by exploring works using various approaches ranging from dynamical systems to Noether symmetries, and more. Naturally, we then discuss perturbation theory, firstly by giving a concise approach in which this can be applied in teleparallel gravity theories and then apply it to a number of important theories in the literature. Finally, we examine works in observational and precision cosmology across the plethora of proposal theories. This is done using some of the latest observations and is used to tackle cosmological tensions which may be alleviated in teleparallel cosmology. We also introduce a number of recent works in the application of machine learning to gravity, we do this through deep learning and Gaussian processes, together with discussions about other approaches in the literature.

show abstract

Some aspects of modified theory of gravity in Palatini formalism unveiled

Chakrabortty

Sanyal

2020

Mod. Phys. Lett. A

View full text Add to dashboard Cite

Under conformal transformation, [Formula: see text] theory of gravity in Palatini formalism leads to a Brans–Dicke type of scalar-tensor equivalent theory with a wrong sign in the effective kinetic energy term. This means that the effective scalar acts as the dark energy and so late-time cosmic acceleration in the matter-dominated era is accountable. However, we unveil some aspects of Palatini formalism, which reveals the fact that the formalism is not suitable to explain the cosmological evolution of the early universe with [Formula: see text] gravity alone. Additionally, it is noticed that some authors, in an attempt to explore Noether symmetry of the theory changed the sign of the kinetic term and hence obtained the wrong answer. Here, we make the correction and unmask a very interesting aspect of symmetry analysis. Mathematical inequivalence between Jordan’s and Einstein’s frame in Palatini [Formula: see text] theory has also been revealed.

show abstract

Noether symmetry of Palatini F(ℜ) gravity

Cited by 3 publications

References 60 publications

Teleparallel Gravity: From Theory to Cosmology

Teleparallel Gravity: From Theory to Cosmology

Teleparallel gravity: from theory to cosmology

Some aspects of modified theory of gravity in Palatini formalism unveiled

Contact Info

Product

Resources

About