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Einstein-Klein-Gordon system via Cauchy-characteristic evolution: Computation of memory and ringdown tail

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arxiv 2409.06141 v2 pith:2OYJTNRB submitted 2024-09-10 gr-qc

Einstein-Klein-Gordon system via Cauchy-characteristic evolution: Computation of memory and ringdown tail

Sizheng Ma , Kyle C. Nelli , Jordan Moxon , Mark A. Scheel , Nils Deppe , Lawrence E. Kidder , William Throwe , Nils L. Vu This is my paper
classification gr-qc
keywords scalarfutureinfinitynullsystemtailaccuratelycauchy-characteristic
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Cauchy-characteristic evolution (CCE) is a powerful method for accurately extracting gravitational waves at future null infinity. In this work, we extend the previously implemented CCE system within the numerical relativity code SpECTRE by incorporating a scalar field. This allows the system to capture features of beyond-general-relativity theories. We derive scalar contributions to the equations of motion, Weyl scalar computations, Bianchi identities, and balance laws at future null infinity. Our algorithm, tested across various scenarios, accurately reveals memory effects induced by both scalar and tensor fields and captures Price's power-law tail ($u^{-l-2}$) in scalar fields at future null infinity, in contrast to the $t^{-2l-3}$ tail at future timelike infinity.

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