标量-张量理论作为Λ(ψ)Plebanski引力的奇异子扇区
Scalar-Tensor theory as a singular subsector of Λ(ϕ) Plebanski gravity
摘要:
结果表明,在没有物质场的情况下,标量场与非手征Plebanski作用量的耦合可以通过放松简单性约束的迹分量来实现。这是通过考虑广义理论的一个子类来实现的,其中一个依赖于拉格朗日乘子不变量的势被添加到Plebanski作用中。一般来说,这样的理论传播八个自由度,但在这里,(奇异)子类的潜力只取决于拉格朗日乘子的轨迹显示为Bergmann-Wagoner-Nordtvedt类的标量张量理论。
英文摘要:
It is shown that, in the absence of matter fields, the coupling of a scalar field to the non-chiral Plebanski action can be obtained by relaxing the trace component of the simplicity constraints. This is realized by considering a subclass of generalized theories, where a potential depending on invariants of the Lagrange multipliers is added to the Plebanski action. Generically such theories propagate eight degrees of freedom, but here the (singular) subclass with the potential only depending on the trace of the Lagrange multiplier is displayed as the Bergmann-Wagoner-Nordtvedt class of scalar-tensor theories.
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