论文标题
嵌入重力的非相关性极限作为与暗物质的一般相对论
Non-relativistic limit of embedding gravity as General Relativity with dark matter
论文作者
论文摘要
基于简单的弦乐启发的几何原理，regge-teitelboim嵌入重力是修饰的重力：我们的时空在这里被视为扁平体积中的4维表面。该理论类似于最近流行的模拟引力理论：由于变量在一般相对论的作用中变化，重力的修饰出现在这两种理论中。嵌入重力以及模拟重力可以用于解释暗物质的谜团，因为在这两种情况下，修改的理论都可以用其他虚拟物质（嵌入物质或模拟物质）表示为一般相对论。对于一般情况，我们以嵌入功能作为一组一阶动力学方程和与它们一致的约束来获得嵌入物质运动的方程式。然后，我们构建了这些方程式的非相关性极限，在这种方程式中，嵌入物质的运动结果足够慢，以便它可以发挥冷暗物质的作用。事实证明，非相关性嵌入物质具有一定的自我交流，这在解决LambDACDM模型中出现的Core-CUSP问题的背景下可能很有用。
Regge-Teitelboim embedding gravity is the modified gravity based on a simple string-inspired geometrical principle: our spacetime is considered here as a 4-dimensional surface in a flat bulk. This theory is similar to the recently popular theory of mimetic gravity: the modification of gravity appears in both theories as a result of the change of variables in the action of General Relativity. Embedding gravity, as well as mimetic gravity, can be used in explaining the dark matter mystery since, in both cases, the modified theory can be presented as General Relativity with additional fictitious matter (embedding matter or mimetic matter). For the general case, we obtain the equations of motion of embedding matter in terms of embedding function as a set of first-order dynamical equations and constraints consistent with them. Then we construct a non-relativistic limit of these equations, in which the motion of embedding matter turns out to be slow enough so that it can play the role of cold dark matter. The non-relativistic embedding matter turns out to have a certain self-interaction, which could be useful in the context of solving the core-cusp problem that appears in the LambdaCDM model.
