Abstract
In the present work we study the propagation of a probe minimally coupled scalar field in Einstein-power-Maxwell charged black hole background in (1+2) dimensions. We find analytical expressions for the reflection coefficient as well as for the absorption cross-section in the low energy regime, and we show graphically their behaviour as functions of the frequency for several values of the free parameters of the theory.
Highlights
After Hawking’s seminal work where it was shown that black holes emit radiation from the horizon [1,2], Hawking radiation has attracted a lot of interest in the community, and black holes have become an excellent laboratory to study and understand quantum gravity
Of particular interest is the so-called greybody factor, or else the absorption cross section, which is a frequency dependent factor that measures the modification of the original black body radiation, and gives us valuable information about the near-horizon structure of black holes [3]
In the present article we analyze the propagation of a probe canonical massless scalar field into a threedimensional gravitational spacetime, and obtain analytical expressions for the reflection coefficient and the corresponding greybody factor
Summary
After Hawking’s seminal work where it was shown that black holes emit radiation from the horizon [1,2], Hawking radiation has attracted a lot of interest in the community, and black holes have become an excellent laboratory to study and understand quantum gravity. The reason why studying such a class of theories is interesting lies in the fact that Maxwell’s theory in higher dimensions is not conformally invariant, while in a D-dimensional spacetime the electromagnetic stress-energy tensor is traceless if the power k is chosen to be k 1⁄4 D=4. Black hole solutions in (1 þ 2)-dimensional and higher-dimensional EpM theories have been obtained in [35,36] respectively, and the greybody factor for the (1 þ 2)-dimensional case with a nonvanishing cosmological constant was studied in [14] for k 1⁄4 2=3. In the present article we analyze the propagation of a probe canonical massless scalar field into a threedimensional gravitational spacetime, and obtain analytical expressions for the reflection coefficient and the corresponding greybody factor.
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