15.01.2013 Views

Relativistic Stars and the Schwarzschild Solution

Relativistic Stars and the Schwarzschild Solution

Relativistic Stars and the Schwarzschild Solution

SHOW MORE
SHOW LESS

Create successful ePaper yourself

Turn your PDF publications into a flip-book with our unique Google optimized e-Paper software.

Spin Connection <strong>and</strong> Curvature<br />

Remember: exterior derivative of forms: d² = 0<br />

β = f(x) α � dβ = df α + f dα<br />

� Cartan structure equations:<br />

T a = dθ a + ω a b θb : 1st struct equ<br />

Ω a b = dωa b + ωa c ωc b<br />

: 2nd struct equ<br />

Bianchi identities: D = d + ω<br />

DT a = Ω a b θb DΩ a b = 0 Ta = 0 !

Hooray! Your file is uploaded and ready to be published.

Saved successfully!

Ooh no, something went wrong!