论文标题
嵌入重力的规范公式以深色物质的一般相对论形式
Canonical formulation of embedding gravity in a form of General Relativity with dark matter
论文作者
论文摘要
我们研究了嵌入重力，这是一种修饰的重力理论，其中我们的时空被认为是扁平十维空间中的四维表面。基于一个简单的几何思想，该理论可以与其他自由度和对行动的贡献相对重制，可以将其解释为描述暗物质。我们研究了这种嵌入重力的规范形式主义。在解决简单的约束之后，哈密顿量将减少为与拉格朗日乘数的四个头等限制的线性组合。仍然存在六对二等限制。讨论了考虑这些约束的可能方法。我们表明，解决约束的一种方法会导致具有隐式定义约束的完整嵌入理论的先前已知规范公式的规范系统。
We study embedding gravity, a modified theory of gravity, in which our space-time is assumed to be a four-dimensional surface in flat ten-dimensional space. Based on a simple geometric idea, this theory can be reformulated as General Relativity with additional degrees of freedom and contribution to action, which can be interpreted as describing dark matter. We study the canonical formalism for such a formulation of embedding gravity. After solving simple constraints, the Hamiltonian is reduced to a linear combination of four first class constraints with Lagrange multipliers. There still remain six pairs of second class constraints. Possible ways of taking these constraints into account are discussed. We show that one way of solving the constraints leads to the canonical system going into the previously known canonical formulation of the complete embedding theory with an implicitly defined constraint.
