Three Little Pieces for Computer and Relativity

2013/03/26 by Luciano Rezzolla · 2 citations
Physics and Astronomy · #Calculus (dental) #Cosmology and Gravitation Theories #Field (mathematics) #Gamma-ray bursts and supernovae #General relativity #Numerical relativity #Pulsars and Gravitational Waves Research #Special relativity #Theory of relativity #astro-ph.HE #gr-qc

paper · pdf · doi:10.1007/978-3-319-06349-2_19

42 pages, 11 figures. Plenary talk at "Relativity and Gravitation: 100 Years after Einstein in Prague", June 25 - 29, 2012, Prague, Czech Republic. To appear in the Proceedings (Edition Open Access). Collects results appeared in journal articles [72,73, 122-124]

arxiv created 2013/03/26 · openalex publication_date 2014/01/01 · arxiv updated 2015/06/15 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

Numerical relativity has made big strides over the last decade. A number of problems that have plagued the field for years have now been mostly solved. This progress has transformed numerical relativity into a powerful tool to explore fundamental problems in physics and astrophysics, and I present here three representative examples. These "three little pieces" reflect a personal choice and describe work that I am particularly familiar with. However, many more examples could be made.

Citations

• Gravitational-Wave Extraction from an Inspiraling Configuration of Merging Black Holes
• Evolutions in 3D numerical relativity using fixed mesh refinement
• The Galaxy Hosts and Large‐Scale Environments of Short‐Hard Gamma‐Ray Bursts
• Systematics of black hole binary inspiral kicks and the slowness approximation
• Large Merger Recoils and Spin Flips From Generic Black-Hole Binaries
• Relativistic hydrodynamics for heavy-ion collisions. I. General aspects and expansion into vacuum
• Constraint violation in free evolution schemes: Comparing the BSSNOK formulation with a conformal decomposition of the Z4 formulation
• NEUTRINO SIGNATURES AND THE NEUTRINO-DRIVEN WIND IN BINARY NEUTRON STAR MERGERS
• Short-hard gamma-ray bursts
• The Blandford–Znajek process as a central engine for a gamma-ray burst
• Gravitational radiation from plunging orbits: Perturbative study
• THE EFFICIENCY OF GRAVITATIONAL BREMSSTRAHLUNG PRODUCTION IN THE COLLISION OF TWO SCHWARZSCHILD BLACK HOLES
• Universality and properties of neutron star type I critical collapses
• Nonlinear gravitational recoil from the mergers of precessing black-hole binaries
• Understanding the “Antikick” in the Merger of Binary Black Holes
• A reformulation of the hoop conjecture
• Exploring Binary-Neutron-Star-Merger Scenario of Short-Gamma-Ray Bursts by Gravitational-Wave Observation
• Nucleosynthesis, neutrino bursts and γ-rays from coalescing neutron stars
• Gravitational Recoil from Spinning Binary Black Hole Mergers
• Recoil Velocities from Equal-Mass Binary-Black-Hole Mergers
• Activation of the Blandford-Znajek mechanism in collapsing stars
• Semi-global simulations of the magneto-rotational instability in core collapse supernovae
• Magnetic acceleration of ultrarelativistic jets in gamma-ray burst sources
• Classical black hole production in high-energy collisions
• Neutrino pair annihilation near accreting, stellar-mass black holes
• Past horizons in Robinson-Trautman spacetimes with a cosmological constant
• High-velocity collision of two black holes
• Gauge conditions for long-term numerical black hole evolutions without excision
• Supermassive Recoil Velocities for Binary Black-Hole Mergers with Antialigned Spins
• Accurate evolutions of inspiralling neutron-star binaries: Prompt and delayed collapse to a black hole
• Anatomy of the binary black hole recoil: A multipolar analysis
• Semi-global existence and convergence of solutions of the Robinson-Trautman (2-dimensional Calabi) equation
• Collapse of differentially rotating neutron stars and cosmic censorship
• Ultrarelativistic Particle Collisions