Published September 25, 2024
| Version v1
Dataset
Open
General relativistic self-gravitating equilibrium disks around rotating neutron stars: dataset
Authors/Creators
- 1. Theoretical Astrophysics 350-17, California Institute of Technology
- 2. Department of Physics & Astronomy, Seoul National University
-
3.
Korea Astronomy and Space Science Institute
- 4. Center for Quantum Spacetime, Sogang University
- 5. Center for the Gravitational-Wave Universe, Astronomy Research Center, Seoul National University
Description
Dataset containing the results from arXiv:2406.00945 (Y.Kim et al. 2024)
- `model_list.asc` contains the name of the model (can be looked up from the Table 4 in the manuscript) and basic information.
All equilibrium solutions are generated with (N_s x N_mu) = (801 x 401) resolution. See section 3.4 of the manuscript.
- `radial_grid.dat` contains the radial grid in the unit of the neutron star coordinate radius. A zero value at the end of the file corresponds to the endpoint (infinity) of the radial grid, which can be ignored.
- Angular grid is simply a uniformly divided interval of `mu = cos (theta)`, which can be easily generated and is not included in this dataset. Note that the angle `theta` is measured from the polar axis (z) toward the equatorial plane.
Main data files (`<model_name>_<quantity_name>.dat`) include a flattened 2D array of the four metric functions, rest mass density, and the angular velocity of the fluid. They all contain a single long column of numbers, and can be opened with normal text editors or loaded with other packages (e.g. numpy) without difficulty. Data value at a grid point (mu_i, r_j) is located as a (801 * i + j)th entry with zero-based indexing. For example, the first 801 numbers correspond to the data on the equator (mu=0), then a radial profile along `mu=1/400`, then `mu=2/400`, and so on.
- The metric function `rho` and `gamma` correspond to `nu - beta` and `nu + beta` (see Eq 8-9 of Komatsu+1989: https://ui.adsabs.harvard.edu/abs/1989MNRAS.237..355K/abstract).
- Other metric functions `alpha` and `omega` have the same definition.
- `restenergydensity` is the rest energy density, and `angvel` is the coordinate angular velocity (see Eq 5 of the manuscript) of the fluid.
- Neutron star (r<=r_e) is modeled with K=100, Gamma=2 polytropic EoS, where the disk is modeled with K=0.468, Gamma=4/3 polytropic EoS. See the section 4 of the paper.
If you use this dataset, please cite the Zenodo DOI and the companion manuscript Y.Kim et al. 2024 (arXiv:2406.00945).
Notes (English)
Below is an example Python script of plotting the rest energy density as a 2D color plot.
import numpy as np
# Grid resolution
KDIV, NDIV = 401, 801
# Load the radial grid. Exclude the endpoint since it is set to zero
# (correspond to r=infty)
#
# One may also consider multiplying the coordinate radius give in `model_list.asc`
# to plot in a physical scale
#
r = np.loadtxt("radial_grid.dat")[:-1]
# Construct angular grid
mu = np.linspace(0, 1, KDIV)
# Generate 2D grid points in (X, Z) plane for the plot
r_2d, mu_2d = np.meshgrid(r, mu)
X = r_2d * np.sqrt(1.0 - mu_2d ** 2)
Z = r_2d * mu_2d
# Load the rest mass density data
# Note the indexing at the end, excluding r=infty
rho = np.loadtxt("A1_restenergydensity.dat").reshape(KDIV, NDIV)[:,:-1]
# Then one can plot the data as
import matplotlib.pyplot as plt
plt.contourf(X, Z, rho, ...)Files
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Additional details
Related works
- Is supplement to
- Dataset: arXiv:2406.00945 (arXiv)