Accelerating Black Holes and Spinning Spindles

Abstract

We study solutions in the Plebański--Demiański family which describe an accelerating, rotating and dyonically charged black hole in $Ad{S}_4$. These are solutions of $D=4$ Einstein-Maxwell theory with a negative cosmological constant and hence minimal $D=4$ gauged supergravity. It is well known that when the acceleration is non-vanishing the $D=4$ black hole metrics have conical singularities. By uplifting the solutions to $D=11$ supergravity using a regular Sasaki-Einstein $7$-manifold, $S{E}_7$, we show how the free parameters can be chosen to eliminate the conical singularities. Topologically, the $D=11$ solutions incorporate an $S{E}_7$ fibration over a two-dimensional weighted projective space, ${\mathbb{WCP}}_{[n_{-},n_{+}]}^1$, also known as a spindle, which is labelled by two integers that determine the conical singularities of the $D=4$ metrics. We also discuss the supersymmetric and extremal limit and show that the near horizon limit gives rise to a new family of regular supersymmetric $Ad{S}_2\times Y_9$ solutions of $D=11$ supergravity, which generalise a known family by the addition of a rotation parameter. We calculate the entropy of these black holes and argue that it should be possible to derive this from certain $\mathcal{N}=2$, $d=3$ quiver gauge theories compactified on a spinning spindle with appropriate magnetic flux.

76 pages, 8 figures; v2: very minor changes, published version

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Cited by in corpus (62)

• D3-branes wrapped on a spindle
• Thermodynamics of accelerating and supersymmetric $Ad{S}_4$ black holes
• Supersymmetric spindles
• M5-branes wrapped on a spindle
• Multi-charge accelerating black holes and spinning spindles
• M5-brane Sources, Holography, and Argyres-Douglas Theories
• D4-branes wrapped on a spindle
• Holographic Duals of Argyres-Douglas Theories
• M2-branes on Discs and Multi-Charged Spindles
• Equivariant localization and holography
• D3-branes and M5-branes wrapped on a topological disc
• Entropy functions for accelerating black holes
• A tale of (M)2 twists
• Factorization of log-corrections in AdS${}_4$/CFT${}_3$ from supergravity localization
• Exploring Accelerating Hairy Black Holes in $2+1$ Dimensions: The Asymptotically Locally Anti-de Sitter Class and its Holography
• Black holes with spindles at the horizon
• Branes wrapped on orbifolds and their gravitational blocks
• 4d N=2 supergravity observables from Nekrasov-like partition functions
• D4-branes wrapped on four-dimensional orbifolds through consistent truncation
• Supersymmetric phases of AdS${}_4$/CFT${}_3$
• Localization and Attraction
• The Spindle Index from Localization
• Leigh-Strassler compactified on a spindle
• Microstates of accelerating and supersymmetric AdS${}_4$ black holes from the spindle index
• Thermodynamics of accelerating AdS${}_4$ black holes from the covariant phase space
• A note on co-dimension 2 defects in N=4,d=7 gauged supergravity
• Holographic Weyl Anomalies for 4d Defects in 6d SCFTs
• Logarithmic Corrections, Entanglement Entropy, and UV Cutoffs in de Sitter Spacetime
• Localization of the free energy in supergravity
• The joy of factorization at large $N$: five-dimensional indices and AdS black holes
• A plethora of Type IIA embeddings for $d=5$ minimal supergravity
• New family of C-metrics in $\mathcal{N}=2$ gauged supergravity
• M2-branes wrapped on a topological disk
• $T^{1,1}$ truncation on the spindle
• Five-branes wrapped on topological disks from 7D N=2 gauged supergravity
• Magnetic charge and black hole supersymmetric quantum statistical relation
• Thermodynamics of charged and accelerating black holes
• Thermodynamics of hairy accelerating black holes in gauged supergravity and beyond
• Super Yang-Mills on Branched Covers and Weighted Projective Spaces
• Maximally symmetric nuts in 4d $\mathcal{N}=2$ higher derivative supergravity
• Supersymmetric black holes with spiky horizons
• Holographic Generalised Gukov-Witten Defects
• NUTs, Bolts, and Spindles
• Type IIA embeddings of $D=5$ minimal gauged supergravity via Non-Abelian T-duality
• Three-dimensional energy-dependent $C$-metric: black hole solutions
• Exact Results for SYM on $Y^{p,q}$ and $S^2\times S^2$ with Conical Singularities
• Uplifting dyonic AdS${}_4$ black holes on seven-dimensional Sasaki-Einstein manifolds
• Gravitational Blocks: Symplectic Covariance Unveiled
• Branes wrapped on quadrilaterals
• The quasilocal energy and thermodynamic first law in accelerating AdS black holes
• $\mathcal{I}$-extremization with baryonic charges
• Constant maps in equivariant topological strings and geometric modeling of fluxes
• Supersymmetric localisation of $\mathcal{N}=(2,2)$ theories on a spindle
• Supersymmetry of the Robinson-Trautman solution
• Universal sectors in superconformal defects
• M5-branes wrapped on four-dimensional orbifolds
• On Acceleration in Three Dimensions
• Bubbling saddles of the gravitational index
• Null integrability and photon phenomenology in the accelerated Schwarzschild black hole
• Factorised scattering and (non)integrability for marginally deformed $Ad{S}_5/CF{T}_4$
• The Static Heavy Quark-Antiquark Potential within String Theory in Arbitrary Stationary Backgrounds
• Accelerating electrically charged ModMax black hole solutions in $F(R)$ gravity