Probing the Solar System for Dark Matter Using the Sagnac Effect

This study investigates the potential of the Sagnac Effect for detecting dark matter in the Solar System, particularly within the Sun. Originating from the relative delay and interference of light beams traveling in opposite directions on rotating platforms, the effect can account how varying gravitational conditions affect its manifestation. We analyze the Sagnac time in two static, spherically symmetric spacetimes: Schwarzschild and one incorporating dark matter. By comparing the calculated relative deviations in Sagnac time obtained from satellites orbiting our star with the current precision of onboard atomic clocks (about 10⁻¹¹), we evaluate the feasibility of detecting dark matter's gravitational influence through this effect.