论文标题

标量调整有效场理论的良好配方

Well-posed formulation of scalar-tensor effective field theory

论文作者

Kovacs, Aron D., Reall, Harvey S.

论文摘要

有效的场理论提供了一种参数化强场偏差与一般相对论的参数方式,在黑洞合并中发出的重力波中可能可观察到。为了对此类理论进行合并的数值模拟,有必要以接收良好的初始值公式的形式写入方程。我们研究重力与标量场耦合,包括领先(4衍生)有效的田间理论校正。我们引入了一类新的“修改后的谐波”测量值和量规固定运动方程,以便在弱耦合下,这些方程是强烈的双曲线,因此接受了良好的初始值配方。

Effective field theory provides a way of parameterizing strong-field deviations from General Relativity that might be observable in the gravitational waves emitted in a black hole merger. To perform numerical simulations of mergers in such theories it is necessary that the equations be written in a form that admits a well-posed initial value formulation. We study gravity coupled to a scalar field including the leading (4-derivative) effective field theory corrections. We introduce a new class of "modified harmonic" gauges and gauge-fixed equations of motion, such that, at weak coupling, the equations are strongly hyperbolic and therefore admit a well-posed initial value formulation.

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