Rotating Boson Stars Using Finite Differences and Global Newton Methods
arXiv:2103.13993 · doi:10.1088/1361-6382/ac0b53
Abstract
We study Rotating Boson Star initial data for Numerical Relativity as previously considered by Yoshida and Eriguchi, Lai (arXiv:gr-qc/0410040v2), and Grandclement, Somé and Gourgoulhon (arXiv:1405.4837v3). We use a 3 + 1 decomposition as presented by Gourgoulhon (arXiv:1003.5015v2) and Alcubierre, adapted to an axisymmetric quasi-isotropic spacetime with added regularization at the axis following work by Ruíz, Alcubierre and Núñez (arXiv:0706.0923v2) and Torres. The Einstein-Klein-Gordon equations result in a system of six-coupled, elliptic, nonlinear equations with an added unknown for the scalar field's frequency . Utilizing a Cartesian two-dimensional grid, finite differences, Global Newton Methods adapted from Deuflhard, the sparse direct linear solver PARDISO, and properly constraining all variables generates data sets for rotation azimuthal integers . Our numerical implementation, published in GitHub, is shown to correctly converge both with respect to the resolution size and boundary extension (fourth-order and third-order, respectively). Thus, global parameters such as the Komar masses and angular momenta can be precisely calculated to characterize these spacetimes. Furthermore, analyzing the full family at fixed rotation integer produces maximum masses and minimum frequencies. These coincide with previous results in literature for and are new for . In particular, the study of high-amplitude and localized scalar fields in axial symmetry is revealed to be only possible by adding the sixth regularization variable.
arXiv comment45 pages, 13 figures
References in corpus (26)
- String Axiverse
- TOPICAL REVIEW: General relativistic boson stars
- Distinguishing Boson Stars from Black Holes and Neutron Stars from Tidal Interactions in Inspiraling Binary Systems
- Kerr black holes with self-interacting scalar hair: hairier but not heavier
- Lensing and dynamics of ultra-compact bosonic stars
- Schwarzschild black holes can wear scalar wigs
- Asymptotically flat spinning scalar, Dirac and Proca stars
- Interaction between bosonic dark matter and stars
- Models of rotating boson stars and geodesics around them: new type of orbits
- Analysis of Dark Matter Axion Clumps with Spherical Symmetry
- Stability of rotating scalar boson stars with nonlinear interactions
- Bosonic gas as a Galactic Dark Matter Halo
- Spherical Boson Stars as Black Hole mimickers
- On the dynamical bar-mode instability in spinning bosonic stars
- Supermassive black holes or boson stars? Hair counting with gravitational wave detectors
- Instability of rotating Bose stars
- Test-beds and applications for apparent horizon finders in numerical relativity
- Rotating Axion Boson Stars
- Multi-field, multi-frequency bosonic stars and a stabilization mechanism
- Boson Star Rotation: A Newtonian Approximation
- Probing Dynamics of Boson Stars by Fast Radio Bursts and Gravitational Wave Detection
- Hints on halo evolution in SFDM models with galaxy observations
- An introduction to the theory of rotating relativistic stars
- Constraining scalar field properties with boson stars as black hole mimickers
- A Numerical Study of Boson Stars
- An improved a priori error analysis of Nitsche's method for Robin boundary conditions