论文标题

分析F(R)重力理论中的保守电流

Analyzing Conserved Currents in F(R) theory of gravity

论文作者

Sk, Nayem, Chakrabortty, Manas, Sanyal, Abhik Kumar

论文摘要

F(R)重力理论据称在遵循各种技术的Noether对称性的强烈对称性下接受了许多保守的电流。但是,对于诸如重力之类的受约束系统,Noether对称性不是壳。结果,除非对生成器进行修改以纳入约束,否则对称不一定要满足字段方程,尤其是约束。在当前的手稿中,我们应用了第一个泊松定理,以揭示一个事实,即,并非所有出现在文献中的保守电流。我们还提供了可用形式的F(R)以及相关的保守电流的列表,并构建了广义动作,该动作可能优雅地解决了宇宙难题。

F(R) theory of gravity is claimed to admit a host of conserved currents under the imposition of Noether symmetry following various techniques. However, for a constrained system such as gravity, Noether symmetry is not on-shell. As a result, the symmetries do not necessarily satisfy the field equations in general, constraints in particular, unless the generator is modified to incorporate the constraints. In the present manuscript, we apply the first theorem of Poisson to unveil the fact that not all the conserved currents appearing in the literature for F(R) theory of gravity, satisfy the field equations. We also provide a list of available forms of F(R) along with associated conserved currents, and construct a generalized action, which might address the cosmic puzzle, elegantly.

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