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

Abstract

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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Cited by in corpus (5)

• Merging black holes with Cauchy-characteristic matching: Computation of late-time tails
• Quantifying Systematic Biases in Black Hole Spectroscopy
• Ringdown spectroscopy of phenomenologically modified black holes
• Gravitational-wave memory effects in the Damour-Esposito-Farèse extension of Brans-Dicke theory
• GW250114 reveals black hole horizon signatures