Constraining Alternative Gravity Theories Using The Solar Neutrino Problem

TL;DR

This paper investigates how alternative gravity theories affect solar neutrino oscillations, calculating the oscillation phase and constraining theory parameters using solar neutrino data.

Contribution

It provides a general framework for calculating neutrino oscillation phases in spherically symmetric alternative gravity models and constrains these models with solar neutrino observations.

Findings

Oscillation phase depends on parameters like cosmological term, charge, and Gauss-Bonnet coupling.

Transition probability varies with parameters, allowing constraints on alternative gravity theories.

Graphical analysis shows parameter ranges consistent with solar neutrino data.

Abstract

The neutrino flavor oscillation is studied in some classes of alternative gravity theories in a plane specified by $\theta =\pi /2$, exploiting the spherical symmetry and general equations for oscillation phases are given. We first calculate the phase in a general static spherically symmetric model and then we discuss some spherically symmetric solutions in alternative gravity theories. Among them we discuss the effect of cosmological term in Schwarzschild-(anti)de Sitter solution, which is the vacuum solution in $F(R)$ theory, the effect of charge and Gauss-Bonnet coupling parameter on the oscillation phase is presented. Finally we discuss a charged solution with spherical symmetry in $F(R)$ theory and also its implication to the oscillation phase. We calculate the oscillation length and transition probability in these spherically symmetric spacetime and have presented a graphical representation for transition probability with various choice for parameters in our theory. From this we could constrain parameters appearing in these alternative theories using standard solar neutrino results.