Self-similarity in Einstein-Maxwell-dilaton theories and critical collapse

Abstract

We study continuously self-similar solutions of four-dimensional Einstein-Maxwell-dilaton theory, with an arbitrary dilaton coupling. Self-similarity is an emergent symmetry of gravitational collapse near the threshold of black hole formation. The resulting `critical collapse' picture has been intensively studied in the past for self-gravitating scalar fields or perfect fluids, but little is known concerning other systems. Here we assess the impact of gauge fields on critical collapse, in the context of low-energy string theories. Matter fields need not inherit the symmetries of a spacetime. We determine the homothetic conditions that scale-invariance of the metric imposes on the dilaton and electromagnetic fields, and we obtain their general solution. The inclusion of a potential for the dilaton is compatible with the homothetic conditions if and only if it is of the Liouville type. By imposing also spherical symmetry, a detailed analysis of critical collapse in these systems is possible by casting the field equations as an autonomous system. We find analytically that Choptuik's critical exponent depends on the dilaton coupling. Despite this and the presence of two novel fixed points, the electromagnetic field necessarily vanishes for the critical solution.

arXiv comment1+18 pages + Appendices, 2 figures; v2: minor corrections and 2 references added, matches published version

References in corpus (39)

• GW170817: Observation of Gravitational Waves from a Binary Neutron Star Inspiral
• Tests of general relativity with GW150914
• Supersymmetry as a Cosmic Censor
• Observation of critical phenomena and self-similarity in the gravitational collapse of radiation fluid
• Primordial black hole formation in the early universe: critical behaviour and self-similarity
• Critical behaviour in gravitational collapse of radiation fluid --- A renormalization group (linear perturbation) analysis ---
• Charged Dilaton Black Holes with Unusual Asymptotics
• The Rotating Dyonic Black Holes Of Kaluza-Klein Theory
• Self-Similarity in General Relativity \endtitle
• Global properties of static spherically symmetric charged dilaton spacetimes with a Liouville potential
• Understanding critical collapse of a scalar field
• The spherically symmetric collapse of a massless scalar field
• Non-Universality of Critical Behaviour in Spherically Symmetric Gravitational Collapse
• Black Hole Dynamics in Einstein-Maxwell-Dilaton Theory
• Einstein-Maxwell-Dilaton theories with a Liouville potential
• Self-Similar Scalar Field Collapse: Naked Singularities and Critical Behaviour
• Critical phenomena in gravitational collapse - Living Reviews
• Critical phenomena in perfect fluids
• Critical Behaviour and Universality in Gravitational Collapse of a Charged Scalar Field
• Universal Scaling and Echoing in Gravitational Collapse of a Complex Scalar Field
• The correspondence between a scalar field and an effective perfect fluid
• On the Collapse of Charged Scalar Fields
• Continuous Self-Similarity and $S$-Duality
• Charge scaling and universality in critical collapse
• Quasinormal modes of weakly charged Einstein-Maxwell-dilaton black holes
• S-Duality at the Black Hole Threshold in Gravitational Collapse
• Black-hole threshold solutions in stiff fluid collapse
• Critical collapse of rotating radiation fluids
• Symmetry inheritance of scalar fields
• Self-Similar Collapse of Conformally Coupled Scalar Fields
• Critical Behavior in a Massless Scalar Field Collapse with Self-interaction Potential
• Collapse of Charged Scalar Field in Dilaton Gravity
• Exact Collapse Solutions in D=4, N=4 Gauged Supergravity and Their Generalizations
• Stringy Robinson-Trautman Solutions
• Critical gravitational collapse with angular momentum II: soft equations of state
• Critical Collapse in the Axion-Dilaton System in Diverse Dimensions
• Dynamical black holes in low-energy string theory
• Examples of naked singularity formation in higher-dimensional Einstein-vacuum spacetimes
• Self-similar collapse of a scalar field in dilaton gravity and critical behaviour

Cited by in corpus (19)

• Weak Gravitational lensing by phantom black holes and phantom wormholes using the Gauss-Bonnet theorem
• Dynamic phase transition of charged dilaton black holes
• On Perturbation Theory and Critical Exponents for Self-Similar Systems
• New class of exact solutions to Einstein-Maxwell-dilaton theory on four-dimensional Bianchi type IX geometry
• On Higher Dimensional Self-Similar Axion-Dilaton Solutions
• Analysis of Black Hole Solutions in Parabolic Class Using Neural Networks
• Nonlinear Statistical Spline Smoothers for Critical Spherical Black Hole Solutions in 4-dimension
• Bianchi IX geometry and the Einstein-Maxwell theory
• Self-Similar Gravitational Dynamics, Singularities and Criticality in 2D
• Unveiling horizons in quantum critical collapse
• Estimation of Critical Collapse Solutions to Black Holes with Nonlinear Statistical Models
• Maxwell-dilaton dynamics
• Black Hole Critical Collapse in Infinite Dimensions: Continuous Self-Similar Solutions
• Self-similar solutions and critical behavior in Einstein-Maxwell-dilaton theory sourced by charged null fluids
• Modeling the complexity of Elliptic Black Hole Solution In 4D Using Hamiltonian Monte Carlo with Stacked Neural Networks
• Sequential Monte Carlo with Cross-validated Neural Networks for Complexity of Hyperbolic Black Hole Solutions in 4D
• Neural Networks Assisted Metropolis-Hastings for Bayesian Estimation of Critical Exponent on Elliptic Black Hole Solution in 4D Using Quantum Perturbation Theory
• Exact Dynamical Black Hole Solutions in Five or Higher Dimensions
• Phantom BTZ Black Holes: Thermal Properties Under Perturbative Corrections