Super-Penrose process and rotating wormholes

Abstract

We consider collision of particles in a wormhole near its throat. Particles come from the opposite mouths. If the lapse function is small enough there, the energy E of debris at infinity grows unbounded, so we are faced with the so-called super-Penrose process. This requires the existence of the ergoregion, so a wormhole should be rotating. PACS numbers: 04.70.Bw, In recent years, essential interest revived to high energy collisions in a strong gravitation field. This concerns the behavior of two different characteristics -the energy E c.m. in the center of mass frame of colliding particles and/or the Killing energy E of debris measured at infinity. The first quantity can become arbitrarily large in the test particle approximation.This was found in [1] (the so-called BSW effect) for the extremal Kerr metric that provoked a huge series of works in which the BSW effect was generalized. In spite of unbounded E c.m. , the quantity E remains quite modest after collisions near black holes because of strongThis stimulates search for other types of objects such that E (in the test particle approximation) could be formally unbounded after collision (this is called the super-Penrose process). First of all, this includes wormholes. For the first time, high energy collisions in wormhole space-times were considered in [6] where it was shown for a particular model (the Teo wormhole [7]) that unbounded E c.m. is possible. It turned out that unbounded E are possible as well [8]. It was revealed that there is a general underlying reasons both for * Electronic address: zaslav@ukr.net

Center of mass energy of colliding electrically neutral particles and super-Penrose process

“…For black holes, this coincides with the standard definition [1], [24]. But it includes also the case of naked singularities and wormholes if collision occurs in the point with small but nonzero N c > (N c ) min when (N c ) min → 0 and N c → 0 [22].…”

“…3.5 of [21]. In another version, particles 1 and 2 can come from the opposite mouths of a wormhole [26], [22]. Now, we are in position to show that the dependence (31) itself leads to the SPP, independently of the details of the scenario.…”

“…Thus, under rather weak assumptions that are satisfied in the Kerr and Kerr-Newman cases, the SPP does exist. This includes also a wormhole obtained by gluing two such metrics [22]. Now, we can generalize (34) and consider…”

“…From the other hand, there are scenarios of collisions in the background of naked singularities and wormholes [19] - [22] when the SPP does occur. Thus there is a series of particular observations for some kinds of physical objects with a positive result in this sense.…”

High energy particle collisions in static, spherically symmetric black-hole-like wormholes

“…Zaslavskii's method. See Zaslavskii [47,53] for the details of the head-on collision in the near-extremal case.…”