利用萨格纳克效应探测太阳系中的暗物质
Probing the Solar System for Dark Matter Using the Sagnac Effect
AI总结：
本研究探讨利用萨格纳克效应探测太阳系（尤其是太阳内部）暗物质的潜力，通过分析两种静态球对称时空的萨格纳克时间并结合卫星原子钟精度，评估该效应探测暗物质引力影响的可行性。
摘要：
本研究探讨了萨格纳克效应在探测太阳系（尤其是太阳内部）暗物质方面的潜力。该效应源于旋转平台上反向传播光束的相对延迟与干涉，可解释不同引力条件对其表现的影响。我们分析了两种静态球对称时空下的萨格纳克时间：史瓦西时空和一种包含完美流体形式暗物质的时空。通过比较绕恒星运行卫星参考系中这些度规下计算的萨格纳克时间相对偏差（卫星作为旋转圆形平台，发射反向激光束）与星载原子钟的精度（约10⁻¹¹），我们评估了通过该效应探测暗物质引力影响的潜力。
英文摘要：
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 for how varying gravitational conditions affect its manifestation. We analyze the Sagnac time in two static, spherically symmetric spacetimes: Schwarzschild and one incorporating dark matter, in the form of a perfect fluid. Comparing the relative deviations in Sagnac time calculated for these metrics in the reference frame of satellites orbiting our star, which serve as a rotating circular platform and emit laser beams in opposite directions, with the precision of onboard atomic clocks (about $10^{-11}$), allows us to evaluate the potential for detecting dark matter's gravitational influence through this effect.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
