Branes and black holes in collision

Abstract

We study the collision of a brane with a black hole. Our aim is to explore the topology changing process of perforation of a brane. The brane is described as a field theoretical domain wall in the context of an axion-like model consisting of a complex scalar effective field theory with approximate U (1) symmetry. We simulate numerically the dynamics of the collision and illustrate the transition from the configuration without a hole to the pierced one with the aid of a phase diagram. The process of perforation is found to depend on the collisional velocity, and, contrary to our expectation, we observe that above a critical value of the velocity, the black hole has no chance to perforate the wall. That is: high energy collisions do not assist piercing. We also show that, only when the model parameters are fine-tuned so that the energy scale of the string is very close to that of the domain wall, the collision of the wall with the black hole has a possibility to provide a mechanism to erase domain walls, if the hole expands. However, in such cases, domain walls will form with many holes edged by a string and therefore disappear eventually. Therefore this mechanism is unlikely to be a solution to the cosmological domain wall problem, although it may cause some minor effects on the evolution of a domain wall network.

Piercing of domain walls: new mechanism of gravitational radiation

“…Squaring of (6.21) and substituting it into (6.2) leads to the integrals V D−3 2 which for D > 6 turn out to be "nonbeamed" and for D = 6 logarithmic, 12 thus taking help of (A.7) this yields: 22) with ω max discussed above (6.10). 10 The amplitude, emitted energy and radiation efficiency, corresponding to this mirror case, will be denoted with uppercase star.…”

“…The holes in the DWs could be created by bulk black holes perforating them [21], so physics of perforation is worth to be explored in detail. The field-theoretical treatment of the collision of black holes with DWs was developed in [22]. These effects can be regarded as topological phase transitions.…”

“…• D − 3 tensors labeled by a single index α = i, z 22) JHEP01 (2018)120 where the last one can be rewritten as…”

Branestrahlung: Radiation in the particle-brane collision

“…The gravitational constant in five dimensions has the dimension of (length) 3 . Combining it with the particle energy E [dimension of (length) −1 ] and the brane tension µ [dimension of (length) −2 ] we have two length parameters: l = κ 2 µ , r S = κ √ E , with the first corresponding to the curvature radius of the bulk in the RSII setup, and the second to the gravitational radius of the energy E. 4 To keep contact with the RSII model we have to consider distances that are small with respect to l, while to justify the linearization of the metric for the particle we have to consider distances that are large with respect to r S . So to apply the linearized theory to both objects we have to assume l ≫ r S , or E ≪ κ 2 µ 2 .…”

“…More recently, the general development of the theory of branes in the superstring setting stimulated investigation of other aspects of this interaction, such as collisions of domain walls and other branes with black holes [4][5][6]. Especially interesting is the process of perforation, which was suggested as a new mechanism of domain-wall destruction in the early Universe [4,7,8]. Other applications refer to the braneworld models of the Randall-Sundrum type [9][10][11][12], in particular, the problem of escape of black holes from branes [13][14][15].…”