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

Abstract

We investigate the basic properties of Hawking radiation for spherical solutions in $D=4$ 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 ${\sigma }_l(\omega )$ for the spherical solutions in $D=4$ double field theory. In particular, we calculate the bound on greybody factors ${\sigma }_l(\omega )$ for F-JNW solution. For F-JNW solution, ${\sigma }_l(\omega )$ monotonically increases with the increase of $a(b)$ for fixed $b(a)$.

arXiv admin note: text overlap with arXiv:2201.00599

References in corpus (5)

• Double Field Theory
• The gauge algebra of double field theory and Courant brackets
• Bounding the greybody factors for Schwarzschild black holes
• Quantum Gravitational Corrections to a Star Metric and the Black Hole Limit
• Quantum corrected equations of motion in the interior and exterior Schwarzschild spacetime

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• Quasinormal Modes and Greybody Factors of Charged Symmergent Black Hole
• Gravitational Core of Double Field Theory: Lecture Notes
• Black hole solutions in double field theory