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Hauptverfasser: Li, Shunrui, Liu, Yang
Format: Preprint
Veröffentlicht: 2024
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Online-Zugang:https://arxiv.org/abs/2404.04758
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author Li, Shunrui
Liu, Yang
author_facet Li, Shunrui
Liu, Yang
contents Double Field Theory suggests that people can view the whole massless NS-NS sector as the gravitational unity. The $O(D,D)$ covariance and the doubled diffeomorphisms determine precisely how the Standard Model as well as a relativistic point particle should couple to the NS-NS sector. The theory also refines the notion of singularity. In [1], the authors derive analytically the most general, spherically symmetric, asymptotically flat, static vacuum solution to $D = 4$ Double Field Theory. The solution contains three free parameters and consequently generalizes the Schwarzschild geometry. In this paper, we generalize the metric in [1] to obtain the 'Kerr-like' metric in $D = 4$ double field theory (DFT) in the Einstein frame and string frame. Then we apply 'covariant phase space' approach to study the thermodynamic properties of the metric we have obtained. We explore the first law of black hole thermodynamics and Hawking radiation for this metric carefully. As a special case, the 'Schwarzschild-like' metric in $4D$ double field theory in [1] can be recovered.
format Preprint
id arxiv_https___arxiv_org_abs_2404_04758
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Kerr-like metric in 4D Double Field Theory
Li, Shunrui
Liu, Yang
High Energy Physics - Theory
Double Field Theory suggests that people can view the whole massless NS-NS sector as the gravitational unity. The $O(D,D)$ covariance and the doubled diffeomorphisms determine precisely how the Standard Model as well as a relativistic point particle should couple to the NS-NS sector. The theory also refines the notion of singularity. In [1], the authors derive analytically the most general, spherically symmetric, asymptotically flat, static vacuum solution to $D = 4$ Double Field Theory. The solution contains three free parameters and consequently generalizes the Schwarzschild geometry. In this paper, we generalize the metric in [1] to obtain the 'Kerr-like' metric in $D = 4$ double field theory (DFT) in the Einstein frame and string frame. Then we apply 'covariant phase space' approach to study the thermodynamic properties of the metric we have obtained. We explore the first law of black hole thermodynamics and Hawking radiation for this metric carefully. As a special case, the 'Schwarzschild-like' metric in $4D$ double field theory in [1] can be recovered.
title Kerr-like metric in 4D Double Field Theory
topic High Energy Physics - Theory
url https://arxiv.org/abs/2404.04758