{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Visualizing Frame Dragging in Kerr Spacetime\n", "\n", "### Importing required modules" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "\n", "from einsteinpy.geodesic import Nulllike\n", "from einsteinpy.plotting import StaticGeodesicPlotter" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Setting up the system\n", " - Initial position & momentum of the test partcle\n", " - Spin of the Kerr Black Hole\n", " - Other solver parameters\n", " \n", "Note that, we are working in _M_-Units ($G = c = M = 1$). Also, setting momentum's $\\phi$-component to negative, implies an initial retrograde trajectory." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "position = [2.5, np.pi / 2, 0.]\n", "momentum = [0., 0., -2.]\n", "a = 0.99\n", "steps = 7440 # As close as we can get before the integration becomes highly unstable\n", "delta = 0.0005\n", "omega = 0.01\n", "suppress_warnings = True" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here, omega, the coupling between the hamiltonian flows, needs to be decreased in order to decrease numerical errors and increase integration stability. Reference: https://arxiv.org/abs/2010.02237.\n", "\n", "Also, suppress_warnings has been set to True, as the error would grow exponentially, very close to the black hole." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Calculating the geodesic" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "geod = Nulllike(\n", " metric=\"Kerr\",\n", " metric_params=(a,),\n", " position=position,\n", " momentum=momentum,\n", " steps=steps,\n", " delta=delta,\n", " return_cartesian=True,\n", " omega=omega,\n", " suppress_warnings=suppress_warnings\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Plotting the geodesic in 2D" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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