Constraining alternative gravity theories using the solar neutrino problem

Chakraborty, Sumanta

doi:10.1088/0264-9381/31/5/055005

Cited by 14 publications

(20 citation statements)

References 75 publications

(114 reference statements)

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“…Thus they can produce significant probability for neutrino helicity flip and we can obtain some bound on their parameters to ensure that the helicity flip remains within experimental bounds. We can also compare these bounds with previously obtained results in [32,56].…”

Section: Neutrino Helicity Flip In Alternative Gravity Theoriessupporting

confidence: 57%

“…ds 2 = 0, the neutrino being massive satisfies the relation, p 2 = −m 2 [27][28][29]. This discrepancy of factor 2 between oscillation phase along null and timelike geodesic persists for a spherically symmetric metric with g tt = g rr [32] and has been reproduced here for the most general of such situations. Along with neutrino flavour oscillation, the spin oscillation of neutrino is another important aspect.…”

Section: Introductionsupporting

confidence: 58%

“…For these purposes we will follow Ref. [32]. The detailed expressions are being provided in Appendix A, we will summarize the important results and shall provide the physical insights behind these results.…”

Section: Neutrino Flavour Oscillation In Some Classes Of Alternative mentioning

confidence: 99%

“…The best physical observable for this purpose as pointed out in [32] is the oscillation length. The oscillation length can be obtained as [67] …”

Section: Neutrino Flavour Oscillation In Some Classes Of Alternative mentioning

confidence: 99%

“…However all the above studies of neutrino spin and flavour oscillations have been performed in general relativity (except in [32]). Then it is important to understand how these ideas reconcile with alternative theories of gravity since there is a general belief that general relativity is only a low energy approximation of an underlying fundamental theory [39,40].…”

Section: Introductionmentioning

confidence: 99%

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Aspects of neutrino oscillation in alternative gravity theories

Chakraborty

2015

J. Cosmol. Astropart. Phys.

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Neutrino spin and flavour oscillation in curved spacetime have been studied for the most general static spherically symmetric configuration. Having exploited the spherical symmetry we have confined ourselves to the equatorial plane in order to determine the spin and flavour oscillation frequency in this general set-up. Using the symmetry properties we have derived spin oscillation frequency for neutrino moving along a geodesic or in a circular orbit. Starting from the expression of neutrino spin oscillation frequency we have shown that even in this general context, in high energy limit the spin oscillation frequency for neutrino moving along circular orbit vanishes. We have verified previous results along this line by transforming to Schwarzschild coordinates under appropriate limit. This finally lends itself to the probability of neutrino helicity flip which turns out to be non-zero. While for neutrino flavour oscillation we have derived general results for oscillation phase, which subsequently have been applied to three different gravity theories. One, of them appears as low-energy approximation to string theory, where we have an additional field, namely, dilaton field coupled to Maxwell field tensor. This yields a realization of Reissner-Nordström solution in string theory at lowenergy. Next one corresponds to generalization of Schwarzschild solution by introduction of quadratic curvature terms of all possible form to the Einstein-Hilbert action. Finally, we have also discussed regular black hole solutions. In all these cases the flavour oscillation probabilities can be determined for solar neutrinos and thus can be used to put bounds on the parameters of these gravity theories. While for spin oscillation probability, we have considered two cases, Gauss-Bonnet term added to the Einstein-Hilbert action and the f(R) gravity theory. In both these cases we could impose bounds on the parameters which are consistent with previous considerations. In a nutshell, in this work we have presented both spin and flavour oscillation frequency of neutrino in most general static spherically symmetric spacetime, encompassing a vast class of solutions, which when applied to three such instances in alternative theories for flavour oscillation and two alternative theories for spin oscillation put bounds on the parameters of these theories. Implications are also discussed. * sumanta@iucaa.in †

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Section: Neutrino Helicity Flip In Alternative Gravity Theoriessupporting

confidence: 57%

Section: Introductionsupporting

confidence: 58%

Section: Neutrino Flavour Oscillation In Some Classes Of Alternative mentioning

confidence: 99%

“…The best physical observable for this purpose as pointed out in [32] is the oscillation length. The oscillation length can be obtained as [67] …”

Section: Neutrino Flavour Oscillation In Some Classes Of Alternative mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Aspects of neutrino oscillation in alternative gravity theories

Chakraborty

2015

J. Cosmol. Astropart. Phys.

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Finite-time cosmological singularities and the possible fate of the Universe

de Haro,

Nojiri,

Odintsov

et al. 2023

Physics Reports

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Equilibrium configuration of perfect fluid orbiting around black holes in some classes of alternative gravity theories

Chakraborty

2015

Class. Quantum Grav.

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The hydrodynamic behaviour of perfect fluid orbiting around black holes in spherically symmetric spacetime for various alternative gravity theories has been investigated. For this purpose we have assumed an uniform distribution for the angular momentum density of the rotating perfect fluid. The contours of equipotential surfaces are illustrated in order to obtain the nature of inflow and outflow of matters. It has been noticed that, the marginally stable circular orbits originating from decreasing angular momentum density lead to closed equipotential surfaces along with cusp allowing existence of accretion disks. On the other hand, the growing part of angular momentum density exhibits central rings for which stable configurations are possible. However inflow of matter is prohibited. Among the solutions discussed in this work, the charged F (R) gravity and Einstein-Maxwell-Gauss-Bonnet solution exhibit inflow and outflow of matter with central rings present. These varied accretion disk structure of perfect fluid attribute these spacetimes astrophysical importance. The effect of higher curvature terms predominantly arises from region near the black hole horizon. Hence the structural difference of accretion disk in modified gravity theories with comparison to general relativity may act as an experimental probe for these alternative gravity theories.

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Constraining alternative gravity theories using the solar neutrino problem

Cited by 14 publications

References 75 publications

Aspects of neutrino oscillation in alternative gravity theories

Aspects of neutrino oscillation in alternative gravity theories

Finite-time cosmological singularities and the possible fate of the Universe

Equilibrium configuration of perfect fluid orbiting around black holes in some classes of alternative gravity theories

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