Hawking temperature and the bound on greybody factors in double field theory

Yang Liu

doi:10.1140/epjc/s10052-022-11022-4

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2023 Impact factor 4.2

Particles and Fields

Open Access

Eur. Phys. J. C (2022) 82: 1054
https://doi.org/10.1140/epjc/s10052-022-11022-4

Regular Article - Theoretical Physics

Hawking temperature and the bound on greybody factors in $D = 4$ double field theory

Yang Liu¹^,2^a

¹ School of Physics and Astronomy, University of Nottingham, NG7 2RD, Nottingham, UK
² Nottingham Centre of Gravity, University of Nottingham, NG7 2RD, Nottingham, UK

^a yang.liu@nottingham.ac.uk

Received: 22 November 2021
Accepted: 12 November 2022
Published online: 22 November 2022

Abstract

We investigate the basic properties of Hawking radiation for spherical solutions in $D = 4$ $$D=4$$ double field theory. We give the expression of the Hawking temperature for the solution and then discuss the results of various limits. We find that for all these limits only Schwarzschild solution and F-JNW solution can generate Hawking radiation. Moreover, we obtain the lower bound on greybody factors $σ_{l} (ω)$ $\sigma _l(\omega )$ for the spherical solutions in $D = 4$ $$D=4$$ double field theory. In particular, we calculate the bound on greybody factors $σ_{l} (ω)$ $\sigma _l(\omega )$ for F-JNW solution. For F-JNW solution, $σ_{l} (ω)$ $\sigma _l(\omega )$ monotonically increases as a and b increase.

© The Author(s) 2022

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