The work constructs timelike tubes foliated by hypersurfaces with a brane-like action whose collective stress-energy is smooth, violates the strong energy condition inside the tube, and reduces to a point-particle action plus self-force term in the vanishing-radius limit.
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3+1 Formalism and Bases of Numerical Relativity
15 Pith papers cite this work. Polarity classification is still indexing.
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Pith papers citing it
abstract
These lecture notes provide some introduction to the 3+1 formalism of general relativity, which is the foundation of most modern numerical relativity. The text is rather self-contained, with detailed calculations and numerous examples. Contents: 1. Introduction, 2. Geometry of hypersurfaces, 3. Geometry of foliations, 4. 3+1 decomposition of Einstein equation, 5. 3+1 equations for matter and electromagnetic field, 6. Conformal decomposition, 7. Asymptotic flatness and global quantities, 8. The initial data problem, 9. Choice of foliation and spatial coordinates, 10. Evolution schemes.
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representative citing papers
Derives primary degeneracy matrix conditions, antisymmetric consistency conditions from constraint preservation, and a final rank condition sufficient to ensure quadratic multi-field higher-derivative scalar-tensor theories propagate only 2+N degrees of freedom without extra Ostrogradsky modes.
Pure R^2 gravity propagates three degrees of freedom nonlinearly but zero linearly around Minkowski and other traceless-Ricci R=0 spacetimes due to ten second-class constraints becoming first-class upon linearization.
Black holes with synchronized or resonant scalar hair exhibit dynamical splitting in which the horizon is ejected from the bosonic cloud center in the very hairy regime.
Head-on charged black hole mergers in Einstein-Maxwell-scalar theory can leave a scalarized remnant or dynamically lose scalar hair, depending on coupling strength and remnant charge.
Holographic RG flow on a 2D CFT induces JT gravity with bulk lapse as dilaton and recovers TTbar deformation in the Fefferman-Graham limit.
Constraint-satisfying scalar-field initial data for boson star binaries is constructed via the XCFC formalism, improving on superposition by ensuring the constraints are met.
A covariant zoom-in perturbation theory framework resolves geodesic breakdown via hierarchical matter horizons, producing an effective energy-momentum tensor whose backreaction explains flat galaxy rotation curves without dark matter.
New realizations of warp drive spacetimes are constructed as solutions of Einstein's equations via geodesic assumptions and relativistic Lagrangian perturbations, revealing coordinate instabilities and a direct link to cosmological models.
A grid-based multi-grid Poisson solver is implemented in numerical relativity, tested on puncture black holes and neutron stars, and used in a neutrino-radiation hydrodynamics simulation of 9 solar mass star collapse up to core bounce with high conservation accuracy.
Lecture notes that build the BMS group from prerequisites to applications in soft theorems, memory effects, and new material on asymptotic conformal Killing horizons.
Numerical relativity solved the general-relativistic two-body problem in the mid-2000s, supplying the waveform models that enabled LIGO's first gravitational-wave detections.
A review that unifies analytical expressions for scalar-induced gravitational waves and emphasizes calculations for non-radiation-dominated cosmologies.
Boson stars are particle-like solutions in general relativity that model dark matter, black hole mimickers, and binary systems.
citing papers explorer
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Gravitating Tubes Beyond World Line Paradigm In General Relativity
The work constructs timelike tubes foliated by hypersurfaces with a brane-like action whose collective stress-energy is smooth, violates the strong energy condition inside the tube, and reduces to a point-particle action plus self-force term in the vanishing-radius limit.
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Removing Ostrogradsky modes in multi-field higher-order scalar-tensor theories
Derives primary degeneracy matrix conditions, antisymmetric consistency conditions from constraint preservation, and a final rank condition sufficient to ensure quadratic multi-field higher-derivative scalar-tensor theories propagate only 2+N degrees of freedom without extra Ostrogradsky modes.
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Spectrum of pure $R^2$ gravity: full Hamiltonian analysis
Pure R^2 gravity propagates three degrees of freedom nonlinearly but zero linearly around Minkowski and other traceless-Ricci R=0 spacetimes due to ten second-class constraints becoming first-class upon linearization.
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Splitting the Gravitational Atom: Instabilities of Black Holes with Synchronized or Resonant Hair
Black holes with synchronized or resonant scalar hair exhibit dynamical splitting in which the horizon is ejected from the bosonic cloud center in the very hairy regime.
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Binary Black Hole Coalescence and the Dynamics of Scalar Hair in Einstein-Maxwell-Scalar Theory
Head-on charged black hole mergers in Einstein-Maxwell-scalar theory can leave a scalarized remnant or dynamically lose scalar hair, depending on coupling strength and remnant charge.
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GR from RG, $2d$ Example: JT-Gravity Induced from Renormalization Group Flow
Holographic RG flow on a 2D CFT induces JT gravity with bulk lapse as dilaton and recovers TTbar deformation in the Fefferman-Graham limit.
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Constraint-satisfying binary boson star initial data via XCFC
Constraint-satisfying scalar-field initial data for boson star binaries is constructed via the XCFC formalism, improving on superposition by ensuring the constraints are met.
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Cosmological zoom-in perturbation theory as a consistent beyond point-particle approximation framework
A covariant zoom-in perturbation theory framework resolves geodesic breakdown via hierarchical matter horizons, producing an effective energy-momentum tensor whose backreaction explains flat galaxy rotation curves without dark matter.
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Novel Realizations of Warp Drive Spacetimes as Solutions of General Relativity
New realizations of warp drive spacetimes are constructed as solutions of Einstein's equations via geodesic assumptions and relativistic Lagrangian perturbations, revealing coordinate instabilities and a direct link to cosmological models.
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Implementation of multi-grid Poisson solver in numerical relativity and its application to gravitational collapse of massive star
A grid-based multi-grid Poisson solver is implemented in numerical relativity, tested on puncture black holes and neutron stars, and used in a neutrino-radiation hydrodynamics simulation of 9 solar mass star collapse up to core bounce with high conservation accuracy.
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Lectures on the Bondi--Metzner--Sachs group and related topics in infrared physics
Lecture notes that build the BMS group from prerequisites to applications in soft theorems, memory effects, and new material on asymptotic conformal Killing horizons.
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The Era of Precision in Computational Models of Gravitational Waves
Numerical relativity solved the general-relativistic two-body problem in the mid-2000s, supplying the waveform models that enabled LIGO's first gravitational-wave detections.
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Scalar induced gravitational waves review
A review that unifies analytical expressions for scalar-induced gravitational waves and emphasizes calculations for non-radiation-dominated cosmologies.
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Dynamical Boson Stars
Boson stars are particle-like solutions in general relativity that model dark matter, black hole mimickers, and binary systems.
- Boson star-black hole binaries: initial data and head-on collisions