Free Hyperboloidal Evolution of the Einstein-Maxwell-Klein-Gordon System
arXiv:2505.17176 · doi:10.1088/1361-6382/adf0b9
Abstract
We present simulations of the Einstein-Maxwell-Klein-Gordon system on compactified hyperboloidal slices. To the best of our knowledge, this is the first time that this setup is evolved with a common formulation like BSSN/Z4. Hyperboloidal slices smoothly reach future null infinity, the only location in spacetime where radiation (such as gravitational waves) is unambiguously defined. We are thus able to reach null infinity and extract signals there. We showcase the capabilities of our implementation in spherical symmetry with the evolution of a charged scalar field perturbing a regular spacetime and near an electrically charged black hole. We also present the collapse of a charged scalar field into a Reissner-Nördstrom black hole.
20 pages, 10 figures
References in corpus (32)
- General-covariant evolution formalism for Numerical Relativity
- Hyperboloidal foliations and scri-fixing
- A symmetry-breaking mechanism for the Z4 general-covariant evolution system
- Nonlinear interactions between black holes and Proca fields
- Analytical Representation of a Black Hole Puncture Solution
- Hyperboloidal Einstein-matter evolution and tails for scalar and Yang-Mills fields
- An axisymmetric evolution code for the Einstein equations on hyperboloidal slices
- An Introduction to Well-posedness and Free-evolution
- Implementation of standard testbeds for numerical relativity
- Comparing Gravitational Waveform Extrapolation to Cauchy-Characteristic Extraction in Binary Black Hole Simulations
- Constant mean curvature slices in the extended Schwarzschild solution and collapse of the lapse: Part I
- Gravitational perturbations of Schwarzschild spacetime at null infinity and the hyperboloidal initial value problem
- News from Critical Collapse: Bondi Mass, Tails and Quasinormal Modes
- The Einstein-Maxwell system in 3+1 form and initial data for multiple charged black holes
- Spherical symmetry as a test case for unconstrained hyperboloidal evolution
- BSSN in Spherical Symmetry
- Stability and instability of the sub-extremal Reissner-Nordström black hole interior for the Einstein-Maxwell-Klein-Gordon equations in spherical symmetry
- Gravitational collapse of charged scalar fields
- Asymptotic Behavior of the Solution to the Klein-Gordon-Zakharov Model in Dimension Two
- Spherical symmetry as a test case for unconstrained hyperboloidal evolution II: gauge conditions
- The Hyperboloidal Numerical Evolution of a Good-Bad-Ugly Wave Equation
- Revisiting the conformal invariance of Maxwell's equations in curved spacetime
- The non-linear perturbation of a black hole by gravitational waves. II. Quasinormal modes and the compactification problem
- Spherically symmetric black hole spacetimes on hyperboloidal slices
- Summation by Parts and Truncation Error Matching on Hyperboloidal Slices
- Evolution of scalar fields surrounding black holes on compactified constant mean curvature hypersurfaces
- Free evolution of the hyperboloidal initial value problem in spherical symmetry
- Height-function-based 4D reference metrics for hyperboloidal evolution
- Residual gauge symmetry in light-cone electromagnetism
- Conformal diagrams for stationary and dynamical strong-field hyperboloidal slices
- The SpECTRE Cauchy-characteristic evolution system for rapid, precise waveform extraction
- Characteristic initial value problems for the Einstein-Maxwell-scalar field equations in spherical symmetry