Off-shell Noether current and conserved charge in Horndeski theory

Off-shell Noether current and conserved charge in Horndeski theory
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Horndeski 理论中的离壳诺特电流和守恒电荷

DOI:
10.1016/j.physletb.2015.11.041
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发表时间:
2015-11
期刊:
Phys. Lett. B
影响因子:
--
通讯作者:
Jun-Jin Peng
Jun-Jin Peng
中科院分区:
其他
文献类型:
--
作者:
Jun-Jin Peng

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我们推导出的离壳诺特电流和潜在的Horndeski理论的背景下,这是最一般的标量张量理论与拉格朗日包含导数高达二阶,同时产生最多的二阶运动方程在四维。在此基础上,利用离壳层Noether势和拉格朗日量变化得到的表面项,给出了守恒电荷的表达式。作为应用,我们在标量场和爱因斯坦张量的导数之间具有非最小耦合的标量张量理论中计算了黑洞的守恒电荷。
We derive the off-shell Noether current and potential in the context of Horndeski theory, which is the most general scalar–tensor theory with a Lagrangian containing derivatives up to second order while yielding at most to second-order equations of motion in four dimensions. Then the formulation of conserved charges is proposed on basis of the off-shell Noether potential and the surface term got from the variation of the Lagrangian. As an application, we calculate the conserved charges of black holes in a scalar–tensor theory with non-minimal coupling between derivatives of the scalar field and the Einstein tensor.
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