Self-dual Gravitational Instantons in Conformal Gravity: Conserved Charges and Thermodynamics
arXiv:2105.10574 · doi:10.1103/PhysRevD.104.064026
Abstract
We study non-Einstein Bach-flat gravitational instanton solutions that can be regarded as the generalization of the Taub-NUT/Bolt and Eguchi-Hanson solutions of Einstein gravity to conformal gravity. These solutions include non-Einstein spaces which are either asymptotically locally flat spacetimes (ALF) or asymptotically locally Anti-de Sitter (AlAdS). Nevertheless, solutions with different asymptotic conditions exist: we find geometries that present a weakened AlAdS asymptotia, exhibiting the typical low decaying mode of conformal gravity. This permits to identify the simple Neumann boundary condition that, as it happens in the asymptotically AdS sector, selects the Einstein solution out of the solutions of conformal gravity. All the geometries present non-vanishing Hirzebruch signature and Euler characteristic, being single-centered instantons. We compute the topological charges as well as the Noether charges of the Taub-NUT/Bolt and Eguchi-Hanson spacetimes, which happen to be finite. This enables us to study the thermodynamic properties of these geometries.
arXiv commentv1: 21 pages, revtex4-1; v2: Comments and references added. Typos fixed. Accepted for publication in Physical Review D
References in corpus (63)
- Black Hole Entropy is Noether Charge
- Some Properties of Noether Charge and a Proposal for Dynamical Black Hole Entropy
- The Holographic Weyl anomaly
- Surface Terms as Counterterms in the AdS/CFT Correspondence
- D=4 Super Yang Mills, D=5 gauged supergravity and D=4 conformal supergravity
- Misner String Entropy
- Critical Gravity in Four Dimensions
- Classical Monopoles: Newton, NUT-space, gravomagnetic lensing and atomic spectra
- Nut Charge, Anti-de Sitter Space and Entropy
- Conformal Supergravity in Twistor-String Theory
- AdS and Lifshitz Black Holes in Conformal and Einstein-Weyl Gravities
- Gravitational Entropy and Global Structure
- Critical Points of D-Dimensional Extended Gravities
- Topological regularization and self-duality in four-dimensional anti-de Sitter gravity
- Conformal Gravity and Extensions of Critical Gravity
- From conformal to Einstein Gravity
- AdS Waves as Exact Solutions to Quadratic Gravity
- Conformal gravity holography in four dimensions
- Four Dimensional Conformal Supergravity From AdS Space
- Thermodynamic Volumes for AdS-Taub-NUT and AdS-Taub-Bolt
- Conformal and Einstein gravity from twistor actions
- The Extended Thermodynamic Phase Structure of Taub-NUT and Taub-Bolt
- Weyl gravity as general relativity
- Cosmological Perturbations in Conformal Gravity
- Breakdown of the Entropy/Area Relationship for NUT-charged Spacetimes
- On the Thermodynamics of NUT charged spaces
- On conformal higher spin wave operators
- Conformal higher spin scattering amplitudes from twistor space
- Topological Terms and the Misner String Entropy
- Black Holes in Six-dimensional Conformal Gravity
- Generalized entropy and Noether charge
- A classification of local Weyl invariants in D=8
- Magnetic Mass in 4D AdS Gravity
- Future Boundary Conditions in De Sitter Space
- Charged Rotating AdS Black Hole and Its Thermodynamics in Conformal Gravity
- Renormalized AdS action and Critical Gravity
- Self-gravitating Yang Monopoles in all Dimensions
- Conformal Supergravity Tree Amplitudes from Open Twistor String Theory
- Aspects of Weyl Supergravity
- Integrability in conformally coupled gravity: Taub-NUT spacetimes and rotating black holes
- Plebanski-Demianski solutions in Quadratic gravity with conformally coupled scalar fields
- Critical and Non-Critical Einstein-Weyl Supergravity
- Stability and Quasinormal Modes of Black Holes in Conformal Weyl Gravity
- Unitary Truncations and Critical Gravity: a Toy Model
- Conformal Higher Spin Theory and Twistor Space Actions
- Counterterms, critical gravity and holography
- Near-extremal black holes in Weyl gravity: Quasinormal modes and geodesic instability
- Quasinormal modes of black holes in Weyl gravity: Electromagnetic and gravitational perturbations
- Self-Dual Conformal Gravity
- Noether-Wald charges in six-dimensional Critical Gravity
- Topological Conformal Gravity in Four Dimensions
- Causal Structure of Vacuum Solutions to Conformal(Weyl) Gravity
- Holographic Two-Point Functions in Conformal Gravity
- Conformal Higher-Spin Gravity: Linearized Spectrum = Symmetry Algebra
- Holographic Entanglement Entropy for 4D Conformal Gravity
- -curvature and gravity
- Metrics of Eguchi-Hanson types with the negative constant scalar curvature
- Topological Characterization of Higher Dimensional Charged Taub-NUT Instantons
- Holographic correlation functions in Critical Gravity
- Conformal higher-spin symmetries in twistor string theory
- AdS Chern-Simons Gravity induces Conformal Gravity
- N=2 Conformal Supergravity from Twistor-String Theory
- Asymptotic symmetry algebra of conformal gravity
Cited by in corpus (12)
- AdS-Taub-NUT spacetimes and exact black bounces with scalar hair
- On the Ghost Problem of Conformal Gravity
- Gravitational instantons with conformally coupled scalar fields
- Phase Transitions and Stability of Eguchi-Hanson-AdS Solitons
- Axial anomaly in nonlinear conformal electrodynamics
- Higher-curvature generalization of Eguchi-Hanson spaces
- Non-Abelian black holes in conformal gravity
- Self duality in unconventional conformal supersymmetry
- A tale of two theories of gravity in asymptotically Anti-de Sitter spacetime
- Dynamical Implementation of the Constraints in Conformal Gravity
- Generalized Eddington--Finkelstein Coordinates and Exact Vaidya-Type Solutions in Weyl Conformal Gravity
- Nonconformally Ricci-flat instantons in Conformal Gravity with and without nonlinear matter fields