‘暗压’：一种在深空产生与距离无关的圆形轨道速度且具有‘可调’总质量的度量
'Dark pressure': A metric that yields distance-independent circular orbital speed in deep space with 'tunable' total mass
AI总结：
本研究提出一种静态球对称时空度量，可产生大半径处恒定的圆形轨道速度，通过无量纲参数B调谐质量且不违反弱能量条件，还可与弗里德曼-罗伯逊-沃尔克度量合并满足宇宙学方程。
摘要：
在广义相对论中，稳定圆形轨道上物体的切向速度无法仅由轨道半径和轨道半径内的质量唯一描述。本研究提出一种静态、球对称的时空度量，该度量可产生稳定的圆形轨道，其速度在大半径处趋近于恒定值。轨道速度与轨道半径内包含的质量无关，但整个时空中存在压力。利用银河系中心黑洞的质量、其遥远卫星的轨道速度以及无量纲‘质量调谐’参数B的三个不同取值，数值计算了该度量的应力能量张量。这些B值可‘调谐’所包含的质量总量，且在所有评估的时空点均不违反弱能量条件（WEC）。该度量可与弗里德曼-勒梅特-罗伯逊-沃尔克（Friedmann-Robertson-Walker）度量合并，此时它在宇宙学距离上实现各向同性并满足弗里德曼方程。
英文摘要：
In general relativity, the tangential speed of objects in stable circular orbits is not uniquely described by the orbital radius and the mass present inside the orbital radius. This work presents a static, spherically symmetric spacetime metric which produces stable circular orbits whose speed approaches a constant value at high radii. The orbital speed is independent of the mass contained within the orbital radius, however, there is pressure throughout the spacetime. The stress energy tensor of this metric is evaluated numerically using the mass of the Milky Way's central black hole, the orbital speed of its distant satellites, and three different values of a unitless 'mass tuning' parameter B. These B 'tune' the amount of mass present, without violating the Weak Energy Condition (WEC) at any evaluated spacetime point. The metric can be merged with a Friedmann-Robertson-Walker metric, in which case it achieves isotropy and obeys the Friedmann equations at cosmological distances.
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。
