Cosmic Censorship Hypothesis

Counter-example

An exact solution to the scalar-Einstein equations which forms a counter example to many formulations of the cosmic censorship hypothesis was found by Mark D. Roberts in 1985:

$ds^2=-(1+2\sigma)dv^2+2dv\,dr+r(r-2\sigma v)\left(d\theta^2 + \sin^2 \theta \,d\phi^2\right),\quad \phi = \frac{1}{2} \ln\left(1 - \frac{2\sigma v}{r}\right),$