Constraining the Rate of Primordial Black-Hole Explosions and Extra Dimension Scale using a Low-Frequency Radio Antenna Array

Abstract

An exploding primordial black-hole (PBH) may produce a single pulse of electromagnetic radiation detectable at the low-frequency end of the radio spectrum. Furthermore, a radio transient from an exploding PBH could be a signature of an extra spatial dimension. We describe here an approach for searching for PBH explosions using a low-frequency radio antenna array, and as a practical example, the results of a such a search using the Eight-meter-wavelength Transient Array (ETA). No compelling astrophysical signal was detected in $\approx 4$ hours of data implying an observational upper limit on the rate of exploding PBHs is $4.2\times 10^{-7}{\mathrm{pc}}^{-3}{\mathrm{yr}}^{-1}$ for an exploding PBH with a fireball Lorentz factor of $10^{4.5}$ for the standard scenario of Page and Hawking. This rate limit is the strongest constraint yet set for PBH explosions with this fireball Lorentz factor. Observations ($\sim 300$ hours) using the Arecibo Observatory were used to set a stronger constraint on the rate of PBH explosions for a fireball Lorentz factor of $10^{4.6}$ but the limit set by those observations for the fireball Lorentz factor considered here are less stringent by more than an order of magnitude. The limits considered here are applicable to exploding PBHs in the halo of the Galaxy. These observations also imply an upper limit of $2.0\times 10^{-4}{\mathrm{pc}}^{-3}{\mathrm{yr}}^{-1}$ on the rate of PBH explosions in the context of certain extra dimension models as described by Kavic et al. This rate limit is for a fireball Lorentz factor of $10^{4.3}$ which corresponds to an extra dimension compactification scale of $3.0\times 10^{-18}$m.

arXiv comment19 page, 4 figures, typos corrected, references added

References in corpus (14)

• The Murchison Widefield Array: the Square Kilometre Array Precursor at low radio frequencies
• Black Strings and p-Branes are Unstable
• Transient radio bursts from rotating neutron stars
• Searches for Fast Radio Transients
• Primordial Black Holes as Dark Matter: The Power Spectrum and Evaporation of Early Structures
• Fast Radio Bursts and White Hole Signals
• Update of the Hagedorn mass spectrum
• On the Density of PBH's in the Galactic Halo
• Search for Small-Mass Black Hole Dark Matter with Space-Based Gravitational Wave Detectors
• New constraints on the primordial black hole number density from Galactic gamma-ray astronomy
• No observational constraints from hypothetical collisions of hypothetical dark halo primordial black holes with galactic objects
• Search for diphoton events with large missing transverse momentum in 7 TeV proton-proton collision data with the ATLAS detector
• Transient Pulses from Exploding Primordial Black Holes as a Signature of an Extra Dimension
• Does the empirical meson spectrum support the Hagedorn conjecture?

Cited by in corpus (1)

• Fundamental Physics with the Square Kilometre Array