Getting started

INFO

This is a starter page.

Code

echo "hello"

Math Test

Inline

• Metric: $g_{\mu \nu }$
• Derivative: ${\partial }_{\mu }\varphi$
• Einstein eq.: $G_{\mu \nu }=8\pi G{T}_{\mu \nu }$
• FRW: $d{s}^2=-d{t}^2+a(t{)}^{2}d{\overrightarrow{x}}^2$

Display

$$g_{\mu \nu }=\mathrm{diag}(-1,1,1,1)$$$${\mathrm{\nabla }}_{\mu }{T}^{\mu \nu }=0$$$$S=\int d^{4}x\sqrt{-g}[\frac{R}{16\pi G}-\frac{1}{2}{g}^{\mu \nu }{\partial }_{\mu }\varphi {\partial }_{\nu }\varphi -V(\varphi )]$$

Aligned equations

$$\begin{array}{rl}{H}^2& ={\left(\frac{\dot{a}}{a}\right)}^2=\frac{8\pi G}{3}\rho \\ \dot{H}& =-4\pi G(\rho +p)\end{array}$$

Fractions, roots, sums

$${\int }_0^1{x}^{2}dx=\frac{1}{3},\sqrt{1+ϵ}\approx 1+\frac{ϵ}{2},\sum _{n=1}^{\mathrm{\infty }}\frac{1}{n^2}=\frac{{\pi }^2}{6}$$

Greek + accents

$$\alpha ,\beta ,\gamma ,\mathrm{\Gamma },\mathrm{\Lambda },\mathrm{\Omega },\dot{\varphi },\ddot{\varphi },{\tilde{g}}_{\mu \nu },\overline{\rho }$$