论文标题
非相关性嵌入重力的暗物质
Dark matter from non-relativistic embedding gravity
论文作者
论文摘要
我们研究了通过从一般相对论到嵌入重力的过渡来解释暗物质的奥秘的可能性。这种重力的修饰是由Regge和Teitelboim提出的，它基于一个简单的弦乐启发的几何原理：我们的时空在这里被视为扁平体积的4维表面。我们表明，在嵌入重力的溶液中，有一类等同于GR溶液的溶液，并具有非相关嵌入物质的额外贡献，可以用作冷暗物质。我们证明了这种类型的解决方案的稳定性，并在非相关性极限内获得了嵌入物质运动方程式的明确形式。根据他们的说法，嵌入物质事实证明具有一定的自我相互作用，这在解决LambDACDM模型中出现的Core-CUSP问题的背景下可能很有用。
We study the possibility to explain the mystery of the dark matter through the transition from General Relativity to embedding gravity. This modification of gravity, which was proposed by Regge and Teitelboim, is based on a simple string-inspired geometrical principle: our spacetime is considered here as a 4-dimensional surface in a flat bulk. We show that among the solutions of embedding gravity, there is a class of solutions equivalent to solutions of GR with an additional contribution of non-relativistic embedding matter, which can serve as cold dark matter. We prove the stability of such type of solutions and obtain an explicit form of the equations of motion of embedding matter in the non-relativistic limit. According to them, 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.
