在太阳系外围采用暗物质的ELA度规的先锋异常的启发式解
A heuristic solution for the Pioneer anomaly employing an ELA metric with dark matter in the outskirts of the Solar system
摘要：
考虑以太阳为中心质量的扩展局部各向异性（ELA）度规和无量纲函数指数参数α =3+ α 2（r1）（1-U_Sun）^2的启发式估计，其中线性估计α 2（r1）= α 2 ^（2.0）+alpha_2^（2.1）r_1'在20天文单位以上的先驱异常被完全解释为由于背景时空的蓝移。为了与太阳系内的轨道运动相一致，在20天文单位以下，α_2（r_1）=0，则进一步认为它是一个分支天体。这种构造将20 AU以上的物理加速度修正值降低到了约10^（-14）m/s^2，使得海王星和冥王星的轨道修正值不像先驱者加速度被认为是引力加速度时那么明显。讨论了20 AU以上的有效质量-能量密度分布的背景修正、相应的状态方程（“-1 < w <-0.726”）和考虑函数参数“α”的上限截断计算的有限非零总质量。这种有效的扩展配置被暂时解释为冷暗物质分布。
英文摘要：
Considering an expanding locally anisotropic (ELA) metric with the Sun as central mass and the heuristic ansatz for the dimensionless functional exponent parameter 'alpha=3+alpha_2(r_1)(1-U_Sun)^2' with a linear ansatz 'alpha_2(r_1)=alpha_2^(2.0)+alpha_2^(2.1) r_1' above 20 AU the pioneer anomaly is fully accounted for as due to the blue-shift of the background space-time. For compatibility with orbital motion within the Solar system it is further considered a branch ansatz for which α_2(r_1)=0 below 20 AU. This construction reduces the physical acceleration correction above 20 AU down to ~10^(-14) m/s^2 outwards from the Sun such that orbital corrections to Neptune and Pluto are less notorious than when the full Pioneer acceleration is considered to be a gravitational acceleration. It is also discussed the effective mass-energy density distribution above 20 AU due to the background corrections, the respective equation of state ('-1 < w < -0.726') and the finite non-null total mass is computed by considering an upper cut-off for the functional parameter 'alpha'. Such effective extended configuration is tentatively interpreted as a cold dark matter distribution.
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。
