Schwarzschild-like wormholes as accelerators

In this paper a wormhole $W$ of an especially simple—and hence, hopefully, realistic—geometry is considered: it is static, spherically symmetric, its matter source is confined to a compact neighborhood of the throat, and the $tt$-component (in the Schwarzschild coordinates) of its metric has a single minimum. It is shown that such a wormhole is a “super accelerator,” i.e., a pair of free-falling particles—with fixed energies at infinity—collide with the center-of-mass energy growing unboundedly with $|g_{tt\min }|$. The existence of such super accelerators would make it possible to observe otherwise inaccessible phenomena. In contrast to the rotating Teo wormhole, considered by Tsukamoto and Bambi, $W$ cannot accelerate the collision products on their way to a distant observer. On the other hand, in contrast to the black hole colliders, $W$ does not need such acceleration in order to make those products detectable.