Campanelli-Lousto and veiled spacetimes

The Campanelli-Lousto solutions of Brans-Dicke theory, usually reported as black holes, are reconsidered and shown to describe, according to the values of a parameter, wormholes or naked singularities. The veiled Schwarzschild metric recently used as an example to discuss conformal frames and their equivalence corresponds to a special case of the Campanelli-Lousto metric. The conformal cousins of these solutions, and of the Riegert black hole solution of conformally invariant Weyl theory, are analyzed, leading to a word of caution when physically interpreting spacetimes generated via conformal transformations from known seed solutions.

Figure 1

The areal radius $R(r)$ as a function of $r$ (in units of $\mu$, for the parameter values $\mu =1$ and $a=2$).

Figure 2

The metric coefficient $g^{RR}$ as a function of $r/\mu$ (for the parameter values $\mu =1$ and $a=2$).

Figure 3

The areal radius $R$ as a function of $r$ (in units of $\mu$, for the parameter values $\mu =1$ and $a=-3$).