New Schwarzschild-like solutions in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>f</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mi>T</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:math>gravity through Noether symmetries

Paliathanasis, Andronikos; Basilakos, Spyros; Saridakis, Emmanuel N.; Capozziello, Salvatore; Atazadeh, K.; Darabi, F.; Tsamparlis, Michael

doi:10.1103/physrevd.89.104042

Cited by 161 publications

(87 citation statements)

References 109 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…Finally, an interesting possibility for future applications related to the present paper, is to address the issues we discussed in this paper, in the context of another modified gravity theory, F (T ) gravity, see [50] for a recent compact study on the subject, and see also [51]. In the F (T ) gravity approach, the scientific viewpoint is different from the approach we adopted in this paper, since the fundamental variable is not the metric anymore, but the vielbein, nevertheless the two formalisms share a lot of common features, with regards to the phenomenological applications.…”

Section: Discussionmentioning

confidence: 99%

Accelerating cosmologies and the phase structure ofF(R)gravity with Lagrange multiplier constraints: A mimetic approach

Odintsov

Oikonomou

2016

Phys. Rev. D

View full text Add to dashboard Cite

We study mimetic F (R) gravity with potential and Lagrange multiplier constraint. In the context of these theories, we introduce a reconstruction technique which enables us to realize arbitrary cosmologies, given the Hubble rate and an arbitrarily chosen F (R) gravity. We exemplify our method by realizing cosmologies that are in concordance with current observations (Planck data) and also well known bouncing cosmologies. The attribute of our method is that the F (R) gravity can be arbitrarily chosen, so we can have the appealing features of the mimetic approach combined with the known features of some F (R) gravities, which unify early-time with late-time acceleration. Moreover, we study the existence and the stability of de Sitter points in the context of mimetic F (R) gravity. In the case of unstable de Sitter points, it is demonstrated that graceful exit from inflation occurs. We also study the Einstein frame counterpart theory of the Jordan frame mimetic F (R) gravity, we discuss the general properties of the theory and exemplify our analysis by studying a quite interesting from a phenomenological point of view, model with two scalar fields. We also calculate the observational indices of the two scalar field model, by using the two scalar field formalism. Furthermore, we extensively study the dynamical system that corresponds to the mimetic F (R) gravity, by finding the fixed points and studying their stability. Finally, we modify our reconstruction method to function in the inverse way and thus yielding which F (R) gravity can realize a specific cosmological evolution, given the mimetic potential and the Lagrange multiplier.PACS numbers: 95.35.+d, 98.80.Cq, 95.36.+x

show abstract

Section: Discussionmentioning

confidence: 99%

Accelerating cosmologies and the phase structure ofF(R)gravity with Lagrange multiplier constraints: A mimetic approach

Odintsov

Oikonomou

2016

Phys. Rev. D

View full text Add to dashboard Cite

show abstract

“…[28,29] and special metric solutions or astrophysical objects studies where performed in Refs. [31][32][33][34][35][36], and in addition thermodynamical issues were addressed in [37][38][39]. This research stream renders F (T ) gravity an important alternative to Einstein-Hilbert gravity.…”

Section: Introductionmentioning

confidence: 99%

Viability of the intermediate inflation scenario with F(T) gravity

Oikonomou

2017

Phys. Rev. D

View full text Add to dashboard Cite

We study the intermediate inflation scenario in the context of F (T ) gravity, and we examine it's viability by calculating the power spectrum of the primordial curvature perturbations and the corresponding spectral index. As we demonstrate, it is possible for the resulting spectral index to be compatible with the observational data and we investigate the parameter space in order to see when the compatibility with data is possible.

show abstract

“…in the solar system. Such class of solutions -both with diagonal and non-diagonal tetrads-have been received much attention during the last few years, see for instance [17][18][19][20][21][22][23]. Indeed, f (T ) theories can be used to explain the cosmic acceleration and observations on large scales (e.g.…”

Section: Introductionmentioning

confidence: 99%

Weak-field spherically symmetric solutions inf(T)gravity

2015

View full text Add to dashboard Cite

We study weak-field solutions having spherical symmetry in f (T ) gravity; to this end, we solve the field equations for a non diagonal tetrad, starting from Lagrangian in the form f (T ) = T +αT n , where α is a small constant, parameterizing the departure of the theory from GR. We show that the classical spherically symmetric solutions of GR, i.e. the Schwarzschild and Schwarzschild-de Sitter solutions, are perturbed by terms in the form ∝ r 2−2n and discuss the impact of these perturbations in observational tests. * Electronic address: matteo.ruggiero@polito.it † Electronic address: ninfa.radicella@sa.infn.it

show abstract

New Schwarzschild-like solutions inf(T)gravity through Noether symmetries

Cited by 161 publications

References 109 publications

Accelerating cosmologies and the phase structure ofF(R)gravity with Lagrange multiplier constraints: A mimetic approach

Accelerating cosmologies and the phase structure ofF(R)gravity with Lagrange multiplier constraints: A mimetic approach

Viability of the intermediate inflation scenario with F(T) gravity

Weak-field spherically symmetric solutions inf(T)gravity

Contact Info

Product

Resources

About