Non-Linear Invariance of Black Hole Entropy

Marrani, Alessio

doi:10.22323/1.314.0543

Cited by 2 publications

(1 citation statement)

References 11 publications

(13 reference statements)

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“…Furthermore, in recent years FD has turned out to characterize a number of directions of investigation within the Maxwell-Einstein (super)gravity theories coupled to non-linear sigma models of scalar fields [6][7][8][9][10][11]. A crucial point to stress is that FD is inherently different from the electro-magnetic duality (aka U -duality in string theory 1 ), since the later act linearly on dyonic BH charges, contrary to the former [15][16][17].…”

Section: Introductionmentioning

confidence: 99%

Near-extremal Freudenthal duality

Chattopadhyay

Mandal

Marrani

2023

J. High Energ. Phys.

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Freudenthal duality is, as of now, the unique non-linear map on electric-magnetic (e.m.) charges which is a symmetry of the Bekenstein-Hawking entropy of extremal black holes, displaying the Attractor Mechanism (possibly, up to some flat directions) in Maxwell-Einstein-scalar theories in four space-time dimensions and with non-trivial symplectic e.m. duality. In this paper, we put forward an effective approach to a consistent generalization of Freudenthal duality to near-extremal black holes, whose entropy is obtained within a Jackiw-Teitelboim gravity upon dimensional reduction. We name such a generalization near-extremal Freudenthal duality. Upon such a duality, two near-extremal black holes with two different (and both small) temperatures have the same entropy when their e.m. charges are related by a Freudenthal transformation. By exploiting Descartes’ rule of signs as well as Sturm’s Theorem, we show that our formulation of the near-extremal Freudenthal duality is analytical and unique.

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Section: Introductionmentioning

confidence: 99%

Near-extremal Freudenthal duality

Chattopadhyay

Mandal

Marrani

2023

J. High Energ. Phys.

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Generalized Freudenthal duality for rotating extremal black holes

Chattopadhyay,

Mandal,

Marrani

2024

J. High Energ. Phys.

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Freudenthal duality (FD) is a non-linear symmetry of the Bekenstein-Hawking entropy of extremal dyonic black holes (BHs) in Maxwell-Einstein-scalar theories in four space-time dimensions realized as an anti-involutive map in the symplectic space of electric-magnetic BH charges. In this paper, we generalize FD to the class of rotating (stationary) extremal BHs, both in the under- and over-rotating regime, defining a (generalized) rotating FD (generally, non-anti-involutive) map (RFD), which also acts on the BH angular momentum. We prove that the RFD map is unique, and we compute the explicit expression of its non-linear action on the angular momentum itself. Interestingly, in the non-rotating limit, RFD bifurcates into the usual, non-rotating FD branch and into a spurious branch, named “golden” branch, mapping a non-rotating (static) extremal BH to an under-rotating (stationary) extremal BH, in which the ratio between the angular momentum and the non-rotating entropy is the square root of the golden ratio. Finally, we investigate the possibility of inducing transitions between the under- and over- rotating regimes by means of RFD, obtaining a no-go result.

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Non-Linear Invariance of Black Hole Entropy

Cited by 2 publications

References 11 publications

Near-extremal Freudenthal duality

Near-extremal Freudenthal duality

Generalized Freudenthal duality for rotating extremal black holes

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