OurBigBook.comSite Source code

Radial Weyl curvature of Schwarzschild spacetime ( $C_{t r t r} = - 2 M / r^{3}$ )

With the curvature convention

R^{α}_{β γ δ} = \partial_{γ} Γ_{β δ}^{α} - \partial_{δ} Γ_{β γ}^{α} + \dots,

the vacuum Schwarzschild metric satisfies

C_{t r t r} = R_{t r t r} = - \frac{2 M}{r ^{3}} .

The opposite Riemann-sign convention reverses this sign.

Table of contents 57 1
- Tidal gravity and the equivalence principle Radial Weyl curvature of Schwarzschild spacetime 37

 Ancestors (5)

 Incoming links (1)

Solution