Source code for einsteinpy.symbolic.predefined.minkowski

from sympy import diag, sin, symbols

from einsteinpy.symbolic import constants
from einsteinpy.symbolic.metric import MetricTensor


[docs] def MinkowskiCartesian(c=constants.c): """ Minkowski(flat) space-time in Cartesian coordinates. Space-time without any curvature or matter. Parameters ---------- c : ~sympy.core.basic.Basic or int or float Any value to assign to speed of light. Defaults to 'c'. """ coords = symbols("t x y z") metric = diag(-1, 1 / (c**2), 1 / (c**2), 1 / (c**2)).tolist() return MetricTensor(metric, coords, "ll", name="MinkowskiMetric")
Minkowski = MinkowskiCartesian
[docs] def MinkowskiPolar(c=constants.c): """ Minkowski(flat) space-time in Polar coordinates. Space-time without any curvature or matter. Parameters ---------- c : ~sympy.core.basic.Basic or int or float Any value to assign to speed of light. Defaults to 'c'. """ coords = symbols("t r theta phi") t, r, th, ph = coords c2 = c**2 metric = diag(-1, 1 / c2, (r**2) / c2, (r**2 * sin(th) ** 2) / c2).tolist() return MetricTensor(metric, coords, "ll", name="MinkowskiMetricPolar")