Constraining Alternative Gravity Theories Using The Solar Neutrino Problem

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.

21 pages, 6 figures, 3 tables; Mathches Published Version

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• Aspects of Neutrino Oscillation in Alternative Gravity Theories
• Dynamics and center of mass energy of colliding particles around black hole in f(R) gravity
• Effects of gravitational lensing on neutrino oscillation in $\gamma$-spacetime
• Gravitational waves and neutrino oscillations in Chern-Simons axion gravity
• Astrophysical neutrino oscillations after pulsar timing array analyses
• Strong cosmic censorship conjecture with NUT charge and conformal coupling
• Plane-wave and wavepacket neutrino flavor oscillations in vacuum in conformal coupling models