Transient pulses from exploding primordial black holes as a signature of an extra dimension

Abstract

An evaporating black hole in the presence of an extra spatial dimension would undergo an explosive phase of evaporation. We show that such an event, involving a primordial black hole, can produce a detectable, distinguishable electromagnetic pulse, signaling the existence of an extra dimension of size L ∼ 10 −18 − 10 −20 m. We derive a generic relationship between the Lorentz factor of a pulse-producing "fireball" and the TeV energy scale. For an ordinary toroidally compactified extra dimension, transient radio-pulse searches probe the electroweak energy scale (∼0.1 TeV), enabling comparison with the Large Hadron Collider.

Constraining the brane tension in Randall-Sundrum cosmology through gravitational waves from binary neutron stars

“…Such a value is consistent with those found in the literature, i.e., Ω λ = 0.026 which was obtained from a different approach (see Keresztes et al 2007), assuming 4Ω λ Ω Λ = Ω 2 m , and also to the values obtained from statistical analysis which resulted in Ω λ = 0.04 (see, e.g., Dabrowski et al 2004) and Ω λ = 0.02 (Fay 2006). Furthermore, with the high number of sources per year obtained for the GW detector, we obtain a great statistics.…”

“…The modified mass-loss rate due to HR has been used to constrain the radius of curvature l. It has been shown (McWilliams 2010) that one can constrain a lower limit to l from the event rate of stellar BHs inspiraling gravitationally into supermassive BHs and from the observation of individual galactic binaries containing a stellar mass BH. The curvature scale l has also been constrained by astronomical observations (Emparan et al 2003;Psaltis 2007;Johannsen et al 2009;Johannsen 2009;Gnedin et al 2009) and from evaporating primordial BHs (Kavic et al 2008).…”

Searching for Transient Pulses with the ETA Radio Telescope

“…The analysis of Rees and Blandford can be adapted to this black-hole topological phase-transition scenario [Kavic et al 2008a;2008b]. Searches for transients of observed frequency ∼ 1 GHz to 10 15 Hz will be sensitive to pulses from fireballs with Lorentz factors γ ∼ 10 5 to 10 7 , and to possible extra dimension length scales L ∼ 10 −18 to 10 −20 m. With an estimate of the distance to the evaporating black hole (available from the observed DM for an observed Fig.…”

“…If black holes evaporate as suggested by specific combinations of general relativity and quantum mechanics, those with masses below about 10 14 g should be approaching a state of runaway evaporation, terminating in a massive burst of radiation [Hawking 1974]. Also, prior to a possible terminal explosion, a primordial black hole may undergo a topological phase transition producing an observable outburst of energy if there exists a compact, extra spatial dimension in addition to the three known spatial dimensions [Kavic et al 2008b].…”

Detection Rates for Surveys for Fast Transients With Next Generation Radio Arrays

“…The frequency-time characteristics of the burst, if due to propagation through a dispersive medium, indicates a dispersion measure of 375 pc cm −3 , which would place this putative object at a cosmological distance. Its extraordinary luminosity and short duration generated a flurry of speculation as to its origin (e.g., Vachaspati 2008; Kavic et al 2008), and the hope that more objects such as these would be useful as probes of the elusive low-redshift ionized inter-galactic medium, much in the same way that pulsars have proven to be exquisite probes of the interstellar medium of our Galaxy (Ginzburg 1973;Palmer 1993;Ioka 2003;Inoue 2004) The astronomical provenance of the burst has recently been questioned (Burke-Spolaor et al 2011), but its origin will ultimately only be resolved once other examples of this burst are detected and followed up.…”