Exact Solutions in Higher-Dimensional Lovelock and $AdS_5$ Chern-Simons Gravity

Bajardi, Francesco; Vernieri, Daniele; Capozziello, Salvatore

doi:10.48550/arxiv.2106.07396

Cited by 3 publications

(5 citation statements)

References 56 publications

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“…Here we would like to mention that in four dimensional spacetime, a special case of Lanczos-Lovelock theory, namely the Gauss-Bonnet (GB) theory becomes a total surface term and thus has no contributions in the field equations. The scenario however becomes different in higher dimensional spacetime where the GB term affects the field equations non-trivially [89]. Coming back to our present model, i.e the Chern-Simons corrected F(R) model in four dimensional FRW spacetime, the Chern-Simons term shows no contributions in the background Friedmann equations, and thus the background evolution is entirely controlled by the vacuum F(R) term (see Eq.…”

Section: Essential Features Of Chern-simons F(r) Gravitymentioning

confidence: 58%

“…( 5)). This is in contrast to [89] where the authors considered an AdS invariant Chern-Simons Lagrangian in f ive dimensional spacetime, which can be recovered from the Lovelock theory, and found the corresponding cosmological as well as spherically symmetric solutions. On contrary, in our present scenario (which is a four dimensional spacetime model), the effective energy density and pressure arises from the higher curvature F(R) degrees of freedom drive the background evolution.…”

Section: Essential Features Of Chern-simons F(r) Gravitymentioning

confidence: 69%

“…In particular, here we consider a Chern-Simons (CS) corrected F(R) theory in a four dimensional spacetime model. The importance of Chern-Simons Lagrangian from various perspectives has been reported in [89]. Here we would like to mention that in four dimensional spacetime, a special case of Lanczos-Lovelock theory, namely the Gauss-Bonnet (GB) theory becomes a total surface term and thus has no contributions in the field equations.…”

Section: Essential Features Of Chern-simons F(r) Gravitymentioning

confidence: 99%

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Unifying an asymmetric bounce to the dark energy in Chern-Simons F(R) gravity

Odintsov¹,

Paul²,

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et al. 2021

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We propose a cosmological scenario in which the universe undergoes through a non-singular bounce, and after the bounce, it decelerates having a matter-like dominated evolution during some regime of the deceleration era, and finally at the present epoch it evolves through an accelerating stage. Our aim is to study such evolution in the context of Chern-Simons corrected F(R) gravity theory and confront the model with various observational data. Using the reconstruction technique, and in addition by employing suitable boundary conditions, we determine the form of F(R) for the entire possible range of the cosmic time. The form of F(R) seems to unify a non-singular bounce with a dark energy epoch, in particular, from a non-singular bounce to a deceleration epoch and from a deceleration epoch to a late time acceleration era. It is important to mention that the bouncing scenario in the present context is an asymmetric bounce, in particular, the Hubble radius monotonically increases and asymptotically diverges at the late contracting era, while it seems to decrease with time at the present epoch. The decreasing behaviour of the Hubble radius ensures a late time acceleration era of the universe. Moreover, due to the aforesaid evolution of the Hubble radius, the primordial perturbation modes generate at the deep contracting era far away from the bounce when all the perturbation modes lie within the horizon. Correspondingly we calculate the scalar and tensor power spectra, and accordingly, we evaluate the primordial observable quantities like the spectral index of the scalar curvature perturbation, the tensor-to-scalar ratio, and as a result, they are found to be in agreement with the latest Planck 2018 constraints. In this regard, the Chern-Simons term seems to have considerable effects on the tensor perturbation evolution, however keeping intact the scalar part of the perturbation with that of in the case of a vacuum F(R) model, and as a result, the Chern-Simons term proves to play an important role in making the observable quantities consistent with the Planck results. Furthermore the

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Section: Essential Features Of Chern-simons F(r) Gravitymentioning

confidence: 58%

Section: Essential Features Of Chern-simons F(r) Gravitymentioning

confidence: 69%

Section: Essential Features Of Chern-simons F(r) Gravitymentioning

confidence: 99%

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Unifying an asymmetric bounce to the dark energy in Chern-Simons F(R) gravity

Odintsov¹,

Paul²,

Banerjee³

et al. 2021

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“…There is quite some interest in higher Chern-Simons theories in theoretical physics (a sample selection spanning over three decades: the seminal and well known [9], [10], the excellent review [31]; see also the recent [4]) and it should be, thus, interesting to investigate the consequences of our findings.…”

Section: Introductionmentioning

confidence: 99%

A cohomological obstruction in higher dimensional Chern--Simons gauge theories

Palese,

Winterroth

2021

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“…Due to the AdS/CFT 1 correspondence, the above Lagrangian is mainly considered in five dimensions, where cosmological and spherically symmetric solutions can be analytically found [43][44][45][46][47][48][49][50][51][52][53].…”

Section: Introductionmentioning

confidence: 99%

DNA Mutations via Chern-Simons Currents

Bajardi,

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Benedetti

et al. 2021

Preprint

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We test the validity of a possible schematization of DNA structure and dynamics based on the Chern-Simons theory, that is a topological field theory mostly considered in the context of effective gravity theories. By means of the expectation value of the Wilson Loop, derived from this analogue gravity approach, we find the point-like curvature of genomic strings in KRAS human gene and COVID-19 sequences, correlating this curvature with the genetic mutations. The point-like curvature profile, obtained by means of the Chern-Simons currents, can be used to infer the position of the given mutations within the genetic string. Generally, mutations take place in the highest Chern-Simons current gradient locations and subsequent mutated sequences appear to have a smoother curvature than the initial ones, in agreement with a free energy minimization argument.

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Exact Solutions in Higher-Dimensional Lovelock and $AdS_5$ Chern-Simons Gravity

Cited by 3 publications

References 56 publications

Unifying an asymmetric bounce to the dark energy in Chern-Simons F(R) gravity

Unifying an asymmetric bounce to the dark energy in Chern-Simons F(R) gravity

A cohomological obstruction in higher dimensional Chern--Simons gauge theories

DNA Mutations via Chern-Simons Currents

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