collapse-崩溃-James Kennington Symbolic Tools

collapse-崩溃-James Kennington

发布:2020-12-23 14:16:42.509918

做者:James Kennington

做者邮箱:jwkennington@psu.edu

首页:https://github.com/JWKennington/collapse

文档:None

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Collapsing Cosmology Research Utilities

The collapse package contains utilities for computing symbolic and numerical expressions related to the time evolution of collapsing cosmologies. php

Symbolic Tools

The collapse package makes use of sympy to compute symbolic curvature equations (EFE). Specific Detailsgit

Example Computation: FLRW Cosmology

# Load the predefined FLRW metric
from collapse.symbolic import metric, gravity, utilities
flrw = metric.flrw().subs({'c': 1})
flrw

$\large \displaystyle - c^{2} \operatorname{d}t \otimes \operatorname{d}t + a^{2}{\left(t \right)} \left(\operatorname{d}x \otimes \operatorname{d}x + \operatorname{d}y \otimes \operatorname{d}y + \operatorname{d}z \otimes \operatorname{d}z\right)$

efe_00 = utilities.clean_expr(gravity.einstein_equation(0, 0, flrw))
efe_00

$\large \displaystyle \frac{3 \left(\frac{d}{d t} a{\left(t \right)}\right)^{2}}{a^{2}{\left(t \right)}} = 0$

# Can simplify notation using "dots"
metric.simplify_deriv_notation(efe_00, flrw, use_dots=True)

$\large \displaystyle \frac{3 \dot{a}^{2}{\left(t \right)}}{a^{2}{\left(t \right)}} = 0$

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