Abstract

We studied in detail the propagation of a massive tachyonic scalar field in the background of a five-dimensional (5D) Einstein–Yang–Mills–Born–Infeld–dilaton black string: the massive Klein–Gordon equation was solved, exactly. Next we obtained complete analytical expressions for the greybody factor, absorption cross section, and decay rate for the tachyonic scalar field in the geometry under consideration. The behaviors of the obtained results are graphically represented for different values of the theory’s free parameters. We also discuss why tachyons should be used instead of ordinary particles for the analytical derivation of the greybody factor of the dilatonic 5D black string.

Highlights

  • A wealth of information about quantum gravity can be obtained by studying the unique and fascinating objects known as black holes (BHs)

  • This article evaluated the greybody factors (GFs), absorption cross section (ACS), and decay rate (DR) for the dilatonic 5D BS geometry arising from the EYMBID theory

  • As a result of the analytical method we followed, it was shown that the radiation of the dilatonic 5D BS spacetime can only be caused by tachyons

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Summary

Introduction

A wealth of information about quantum gravity can be obtained by studying the unique and fascinating objects known as black holes (BHs). There are many studies of GF, ACS, and DR (see, for example, [5,6,7,8,9,10] and the references therein), the number of analytical studies of GFs that consider modified black-body radiation of higher-dimensional (D > 4) spacetimes, like the BHs in string theory and black strings [11,12,13], is rather limited (see, for instance, [6, 7, 14,15,16,17,18]).

Dilatonic 5D BS in EYMBID Theory
Wave Equation of a Massive Scalar Tachyonic Field in Dilatonic 5D BS
Radiation of Dilatonic 5D BS
Conclusion
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