Matter–gravity interaction in a multiply warped braneworld

Mukhopadhyaya, Biswarup; Sen, S.; SenGupta, Soumitra

doi:10.1088/0954-3899/40/1/015004

Cited by 6 publications

(4 citation statements)

References 54 publications

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“…A further issue needs to be clarified here. It has been argued in the literature ( [35] as well as in the context of a different system with close parallels to the current discussion) that, for p = 0 modes such as ψ 0p would not exist. We shall explicitly show below that this is not the case.…”

Section: B the Y Equationsupporting

confidence: 67%

“…It has been argued in the literature [35] that the z-equation can be simplified to a great extent by approximating the warp factor 1/ cosh(k z) by an exponential, which ought to be valid for large k z. Indeed, thus simplified equation of motion has solutions in terms of Bessel and Neumann functions, and the corresponding analysis has exact parallels with the 5D case.…”

Section: A the Z Equationmentioning

confidence: 99%

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Graviton modes in multiply warped geometry

et al. 2015

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The negative results in the search for Kaluza-Klein graviton modes at the LHC, when confronted with the discovery of the Higgs, has been construed to have severely limited the efficacy of the Randall-Sundrum model as an explanation of the hierarchy problem. We show, though, that the presence of multiple warping offers a natural resolution of this conundrum through modifications in both the graviton spectrum and their couplings to the Standard Model fields.Comment: 16 pages, 6 figure

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Section: B the Y Equationsupporting

confidence: 67%

Section: A the Z Equationmentioning

confidence: 99%

Graviton modes in multiply warped geometry

et al. 2015

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“…These multiply warped models are mainly motivated from various considerations, which include: radion stabilization, fermion mass hierarchy in Standard Model etc. There have been significant number of follow-up works in these multiply warped models which involves: inflation, cosmic acceleration, matter field localization, Kaluza-Klein modes of graviton, gauge and scalar fields [27][28][29][30][31][32]. However all these results depend on certain assumptions of bulk metric elements and bulk Einstein equation under some simplified conditions, for example in presence of homogeneity and isotropy.…”

Section: Introductionmentioning

confidence: 99%

Effective gravitational field equations on m-brane embedded in n-dimensional bulk of Einstein and $$f(\mathcal {R})$$ f ( R ) gravity

Chakraborty

SenGupta

2015

Eur. Phys. J. C

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We have derived effective gravitational field equations on a lower dimensional hypersurface (known as a brane), placed in a higher dimensional bulk spacetime for both Einstein and f (R) gravity theories. We have started our analysis on n-dimensional bulk from which the effective field equations on a (n − 1)-dimensional brane has been obtained by imposing Z2 symmetry. Subsequently, we have arrived at the effective equations in (n − 2)-dimensions starting from the effective equations for (n − 1) dimensional brane. This analysis has been carried forward and is used to obtain the effective field equations in (n − m)-dimensional brane, embedded in a n-dimensional bulk. Having obtained the effective field equations in Einstein gravity, we have subsequently generalized the effective field equation in (n − m)dimensional brane which is embedded the n-dimensional bulk spacetime endowed with f (R) gravity. We have also presented applications of our results in the context of Einstein and f (R) gravity. In both the cases we have discussed vacuum static spherically symmetric solutions as well as solutions in cosmological context. Implications are also discussed.

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“…Extensions of the minimal RS model have been attempted in the gravity sector by Choudhury and collaborators [625][626][627][628][629][630][631][632], while effects of a bulk torsion field have been discussed at length by Mukhopadhyaya and SenGupta in a series of papers [633][634][635][636][637][638][639][640][641][642][643][644][645][646][647][648][649]. The latter has also studied the possibility of Gauss-Bonnet and higher curvature terms in the bulk [650][651][652][653][654][655][656][657][658][659][660][661][662].…”

Section: Exploring Extra Dimensionsmentioning

confidence: 99%

Indian contributions to LHC theory

Raychaudhuri

2023

Eur. Phys. J. Spec. Top.

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Indian scientists began to work on the theoretical aspects of LHC physics from the early 1980s, at the same time when the rest of the world started taking interest in this then-futuristic topic. From this point grew a whole school of collider phenomenologists, who now form a significant fraction of the Indian high-energy physics community. This article briefly reviews the growth and contributions of the Indian school, on the way describing some of the physics ideas while placing the work in the international context, and proceeding thus, brings the story up to date in mid-2022.Dedicated to the memory of the late D.P. Roy (1941Roy ( -2017, the father of Indian collider theory. The expectant 80sThe LHC owes its origin [1] to CERN's far-sighted leaders, Léon van Hove, who served from 1976-1980 as the Scientific Director-General, and Technical Director-General Sir John Adams (1976)(1977)(1978)(1979)(1980)(1981), who resolved that it would be feasible and scientifically rewarding to build the next-generation storage ring at CERN. Thus, in 1977, Adams wrote the crucial concept note that the LEP collider 1 tunnel, which would be excavated in the 1980s, should be made large enough to accommodate the superconducting magnets required for a future phase of proton acceleration at higher energies. This 1977 note may be thought of as the genesis of the LHC. By 1978, it was already well known in the community, even though the formal approval for the LEP came only in 1981, and the machine itself started running in 1989 [2]. However, the fact that the 20 TeV LHC would eventually come and that the physics at such a machine should be studied, was in the air right from the early 1980s onward. Moreover, the USA was supposed to build a 40 TeV Superconducting Super Collider (SSC) which, sadly, never materialised 2 . The 1980s were, in fact, a period of great optimism for high-energy physics -or, as it was then more commonly known, elementary particle physics. One trigger for this may have lain in the decision of the Nobel Prize committee, in 1979, to recognise the work of Glashow (1961) [3], of Salam (1966-1968 1 The Large Electron-Positron collider.2 It was sanctioned in 1989, and eventually cancelled in 1993.

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Matter–gravity interaction in a multiply warped braneworld

Cited by 6 publications

References 54 publications

Graviton modes in multiply warped geometry

Graviton modes in multiply warped geometry

Effective gravitational field equations on m-brane embedded in n-dimensional bulk of Einstein and $$f(\mathcal {R})$$ f ( R ) gravity

Indian contributions to LHC theory

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