Quasi-topological electromagnetism: Dark energy, dyonic black holes, stable photon spheres and hidden electromagnetic duality

Liu, Hai-Shan; Mai, Zhan-Feng; Li, Yue-Zhou; Lü, H.

doi:10.1007/s11433-019-1446-1

Cited by 66 publications

(46 citation statements)

References 40 publications

(55 reference statements)

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“…In other words, it is the difference of the thermodynamical volume between the outer and inner horizons. It should be mentioned that recently exact black holes satisfying the dominant energy condition with four horizons were constructed in Einstein-Maxwell gravity with quasi-topological extension [41]. We shall not consider this type of black holes here.…”

Section: Algebraic Ca-cv Inequalitiesmentioning

confidence: 99%

Holographic complexity bounds

Liu

Lü

et al. 2020

J. High Energ. Phys.

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We study the action growth rate in the Wheeler-DeWitt (WDW) patch for a variety of D ≥ 4 black holes in Einstein gravity that are asymptotic to the anti-de Sitter spacetime, with spherical, toric and hyperbolic horizons, corresponding to the topological parameter k = 1, 0, −1 respectively. We find a lower bound inequality 1 T ∂İ WDW ∂S Q,P th > C for k = 0, 1, where C is some order-one numerical constant. The lowest number in our examples is C = (D − 3)/(D − 2). We also find that the quantity (İ WDW − 2P th ∆V th) is greater than, equal to, or less than zero, for k = 1, 0, −1 respectively. For black holes with two horizons, ∆V th = V + th − V − th , i.e. the difference between the thermodynamical volumes of the outer and inner horizons. For black holes with only one horizon, we introduce a new concept of the volume V 0 th of the black hole singularity, and define ∆V th = V + th − V 0 th. The volume V 0 th vanishes for the Schwarzschild black hole, but in general it can be positive, negative or even divergent. For black holes with single horizon, we find a relation betweeṅ I WDW and V 0 th , which implies that the holographic complexity preserves the Lloyd's bound for positive or vanishing V 0 th , but the bound is violated when V 0 th becomes negative. We also find explicit black hole examples where V 0 th and henceİ WDW are divergent.

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Section: Algebraic Ca-cv Inequalitiesmentioning

confidence: 99%

Holographic complexity bounds

Liu

Lü

et al. 2020

J. High Energ. Phys.

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“…As for black holes and wormholes, an intriguing aspect about gravitational lensing is that it gives rise to detectable shadows, which are casted by the 'photon sphere' [39][40][41][42][43][44]. Photon spheres are typically unstable, but black holes satisfying the dominant energy condition can also allow to have stable photon sphere [45].…”

Section: Introductionmentioning

confidence: 99%

Charged Ellis wormhole and black bounce

Huang

Yang

2019

Phys. Rev. D

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By replacing the scalar φ with iφ in the solution constructed in Ref [1], we obtain electrically-charged wormhole and black hole solutions in the Einstein-Maxwell-scalar theory, in which the scalar is a phantom field coupled to the Maxwell field non-minimally.Our solutions are simpler than the previously-known charged wormholes in the Einstein-Maxwell-dilaton theory in that both the scalar and the radius of the foliating sphere of our solutions are independent of electric charge. The wormhole solution has two asymptotically flat regions and reduces to Ellis wormhole when the charge is zero. We draw the embedding diagrams for the wormholes and demonstrate that the two sides are asymmetric. As the charge increases, horizons will appear, and the wormhole becomes a black hole, with no curvature singularity but a wormhole throat or a bounce. We analyze black hole thermodynamics and the causal structure. We also determine the photon spheres of both the wormhole and the black hole and discuss their observable characteristics.

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“…• GQG = Generalized Quasitopological Gravity 1 Not to be confused with the recently constructed "quasitopological electromagnetism" of refs. [91,92], which provides a non-linear extension of Maxwell's electromagnetism with interesting properties and with explicit black hole solutions when it is minimally coupled to gravity.…”

Section: Note On Acronymsmentioning

confidence: 99%

Electromagnetic quasitopological gravities

Cano

Murcia

2020

J. High Energ. Phys.

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We identify a set of higher-derivative extensions of Einstein-Maxwell theory that allow for spherically symmetric charged solutions characterized by a single metric function f (r) = −gtt = 1/grr. These theories are a non-minimally coupled version of the recently constructed Generalized Quasitopological gravities and they satisfy a number of properties that we establish. We study magnetically-charged black hole solutions in these new theories and we find that for some of them the equations of motion can be fully integrated, enabling us to obtain analytic solutions. In those cases we show that, quite generally, the singularity at the core of the black hole is removed by the higher-derivative corrections and that the solution describes a globally regular geometry. In other cases, the equations are reduced to a second order equation for f (r). Nevertheless, for all the theories it is possible to study the thermodynamic properties of charged black holes analytically. We show that the first law of thermodynamics holds exactly and that the Euclidean and Noether-charge methods provide equivalent results. We then study extremal black holes, focusing on the corrections to the extremal charge-to-mass ratio at a non-perturbative level. We observe that in some theories there are no extremal black holes below certain mass. We also show the existence of theories for which extremal black holes do not represent the minimal mass state for a given charge. The implications of these findings for the evaporation process of black holes are discussed.

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Quasi-topological electromagnetism: Dark energy, dyonic black holes, stable photon spheres and hidden electromagnetic duality

Cited by 66 publications

References 40 publications

Holographic complexity bounds

Holographic complexity bounds

Charged Ellis wormhole and black bounce

Electromagnetic quasitopological gravities

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