Fetching the paper…
Reading the bibliography…
In the extreme violence of merger and mass accretion, compact objects like black holes and neutron stars are thought to launch some of the most luminous outbursts of electromagnetic and gravitational wave energy in the Universe.
Gravitation: An Introduction to Current research
R. Arnowitt, S. Deser, and C. W. Misner · 1962
Earlier work this paper cites.
On upstream differencing and godunov-type schemes for hyperbolic conservation laws
A. Harten, P. D. Lax, and B. van Leer · 1983
Earlier work this paper cites.
The Piecewise Parabolic Method (PPM) for Gas-Dynamical Simulations
P. Colella and P. R. Woodward · 1984
Earlier work this paper cites.
Simulation of magnetohydrodynamic flows - A constrained transport method
C. R. Evans and J. F. Hawley · 1988
Earlier work this paper cites.
Numerical relativistic hydrodynamics: Local characteristic approach
J. M. Mart, J. M. Ibáez, and J. A. Miralles · 1991
Earlier work this paper cites.
Does artificial viscosity destroy prompt type-II supernova explosions?
H.-T. Janka, T. Zwerger, and R. Moenchmeyer · 1993
Earlier work this paper cites.
Rapidly rotating polytropes in general relativity
G. B. Cook, S. L. Shapiro, and S. A. Teukolsky · 1994
Earlier work this paper cites.
Evolution of three-dimensional gravitational waves: Harmonic slicing case
M. Shibata and T. Nakamura · 1995
Earlier work this paper cites.
Numerical { \{ 3+ 1 } \} general relativistic hydrodynamics: A local characteristic approach
Francesc Banyuls, José A Font, José Ma Ibáñez, José Ma Martí, and Juan A Miralles · 1997
Earlier work this paper cites.
Numerical integration of Einstein’s field equations
T. W. Baumgarte and S. L. Shapiro · 1998
Earlier work this paper cites.
A staggered mesh algorithm using high order godunov fluxes to ensure solenoidal magnetic fields in magnetohydrodynamic simulations
D. S. Balsara and D. S. Spicer · 1999
Earlier work this paper cites.
Divergence-Free Adaptive Mesh Refinement for Magnetohydrodynamics
D. S. Balsara · 2001
Earlier work this paper cites.
Hyperbolic Divergence Cleaning for the MHD Equations
A. Dedner, F. Kemm, D. Kröner, C.-D. Munz, T. Schnitzer, and M. Wesenberg · 2002
Earlier work this paper cites.
Nonoscillatory Central Difference and Artificial Viscosity Schemes for Relativistic Hydrodynamics
P. Anninos and P. C. Fragile · 2003
Earlier work this paper cites.
A new three-dimensional general-relativistic hydrodynamics code
L. Baiotti, I. Hawke, P. Montero, and L. Rezzolla · 2003
Earlier work this paper cites.
A new three-dimensional general-relativistic hydrodynamics code
L. Baiotti, I. Hawke, P. J. Montero, and L. Rezzolla · 2003
Earlier work this paper cites.
An efficient shock-capturing central-type scheme for multidimensional relativistic flows. II. Magnetohydrodynamics
L. Del Zanna, N. Bucciantini, and P. Londrillo · 2003
Earlier work this paper cites.
HARM: A Numerical Scheme for General Relativistic Magnetohydrodynamics
C. F. Gammie, J. C. McKinney, and G. Tóth · 2003
Earlier work this paper cites.
Three-dimensional relativistic simulations of rotating neutron star collapse to a Kerr black hole
L. Baiotti, I. Hawke, P. J. Montero, F. Löffler, L. Rezzolla, N. Stergioulas, J. A. Font, and E. Seidel · 2005
Earlier work this paper cites.
Excitation of magnetohydrodynamic modes with gravitational waves: A testbed for numerical codes
M. D. Duez, Y. T. Liu, S. L. Shapiro, and B. C. Stephens · 2005
Earlier work this paper cites.
Relativistic magnetohydrodynamics in dynamical spacetimes: Numerical methods and tests
M. D. Duez, Y. T. Liu, S. L. Shapiro, and B. C. Stephens · 2005
Earlier work this paper cites.
Relativistic MHD with Adaptive Mesh Refinement
M. Anderson, E. Hirschmann, S. L. Liebling, and D. Neilsen · 2006
Earlier work this paper cites.
Numerical 3+1 General Relativistic Magnetohydrodynamics: A Local Characteristic Approach
L. Antón, O. Zanotti, J. A. Miralles, J. M. Martí, J. M. Ibáñez, J. A. Font, and J. A. Pons · 2006
Earlier work this paper cites.
Collapse of Magnetized Hypermassive Neutron Stars in General Relativity
M. D. Duez, Y. T. Liu, S. L. Shapiro, M. Shibata, and B. C. Stephens · 2006
Cited alongside, same era.
Evolution of magnetized, differentially rotating neutron stars: Simulations in full general relativity
M. D. Duez, Y. T. Liu, S. L. Shapiro, M. Shibata, and B. C. Stephens · 2006
Cited alongside, same era.
General relativistic simulations of slowly and differentially rotating magnetized neutron stars
Z. B. Etienne, Y. T. Liu, and S. L. Shapiro · 2006
Cited alongside, same era.
Primitive Variable Solvers for Conservative General Relativistic Magnetohydrodynamics
S. C. Noble, C. F. Gammie, J. C. McKinney, and L. Del Zanna · 2006
Cited alongside, same era.
Magnetized Hypermassive Neutron-Star Collapse: A Central Engine for Short Gamma-Ray Bursts
M. Shibata, M. D. Duez, Y. T. Liu, S. L. Shapiro, and B. C. Stephens · 2006
Cited alongside, same era.
Merger of binary white dwarf-neutron stars: Simulations in full general relativity
V. Paschalidis, Y. T. Liu, Z. Etienne, and S. L. Shapiro · 2011
Later among the works it cites.
Conformal and covariant formulation of the Z4 system with constraint-violation damping
D. Alic, C. Bona-Casas, C. Bona, L. Rezzolla, and C. Palenzuela · 2012
Later among the works it cites.
Hydrodynamics in full general relativity with conservative AMR
William E. East, Frans Pretorius, and Branson C. Stephens · 2012
Later among the works it cites.
General relativistic simulations of black-hole-neutron-star mergers: Effects of magnetic fields
Z. B. Etienne, Y. T. Liu, V. Paschalidis, and S. L. Shapiro · 2012
Later among the works it cites.
Relativistic magnetohydrodynamics in dynamical spacetimes: Improved electromagnetic gauge condition for adaptive mesh refinement grids
Z. B. Etienne, V. Paschalidis, Y. T. Liu, and S. L. Shapiro · 2012
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
Magnetorotational collapse of massive stellar cores to neutron stars: Simulations in full general relativity
M. Shibata, Y. T. Liu, S. L. Shapiro, and B. C. Stephens · 2006
Cited alongside, same era.
WhiskyMHD: a new numerical code for general relativistic magnetohydrodynamics
B. Giacomazzo and L. Rezzolla · 2007
Cited alongside, same era.
Magnetorotational collapse of very massive stars to black holes in full general relativity
Y. T. Liu, S. L. Shapiro, and B. C. Stephens · 2007
Cited alongside, same era.
Collapse and black hole formation in magnetized, differentially rotating neutron stars
B. C. Stephens, M. D. Duez, Y. T. Liu, S. L. Shapiro, and M. Shibata · 2007
Cited alongside, same era.
A new general relativistic magnetohydrodynamics code for dynamical spacetimes
P. Cerdá-Durán, J. A. Font, L. Antón, and E. Müller · 2008
Cited alongside, same era.
Fully general relativistic simulations of black hole-neutron star mergers
Z. B. Etienne, J. A. Faber, Y. T. Liu, S. L. Shapiro, K. Taniguchi, and T. W. Baumgarte · 2008
Cited alongside, same era.
General relativistic simulations of magnetized binary neutron star mergers
Y. T. Liu, S. L. Shapiro, Z. B. Etienne, and K. Taniguchi · 2008
Cited alongside, same era.
General-relativistic simulations of black-hole-neutron-star mergers: Effects of tilted magnetic fields
Z. B. Etienne, V. Paschalidis, and S. L. Shapiro · 2012
Later among the works it cites.
Binary Black-Hole Mergers in Magnetized Disks: Simulations in Full General Relativity
B. D. Farris, R. Gold, V. Paschalidis, Z. B. Etienne, and S. L. Shapiro · 2012
Later among the works it cites.
Three-dimensional evolution of differentially rotating magnetized neutron stars
K. Kiuchi, K. Kyutoku, and M. Shibata · 2012
Later among the works it cites.
Implementation and testing of the first prompt search for gravitational wave transients with electromagnetic counterparts
LIGO Scientific Collaboration, Virgo Collaboration, J. Abadie, B. P. Abbott, R. Abbott, T. D. Abbott, M. Abernathy, T. Accadia, F. Acernese, C. Adams, and et al · 2012
Later among the works it cites.
Importance of cooling in triggering the collapse of hypermassive neutron stars
V. Paschalidis, Z. B. Etienne, and S. L. Shapiro · 2012
Later among the works it cites.
Current status of numerical-relativity simulations in Kyoto
Y. Sekiguchi, K. Kiuchi, K. Kyutoku, and M. Shibata · 2012
Later among the works it cites.
Using electromagnetic observations to aid gravitational-wave parameter estimation of compact binaries observed with LISA
S. Shah, M. van der Sluys, and G. Nelemans · 2012
Later among the works it cites.
General-Relativistic Resistive Magnetohydrodynamics in three dimensions: formulation and tests
K. Dionysopoulou, D. Alic, C. Palenzuela, L. Rezzolla, and B. Giacomazzo · 2013
Later among the works it cites.
Modelling magnetized neutron stars using resistive magnetohydrodynamics
C. Palenzuela · 2013
Later among the works it cites.
General-relativistic simulations of binary black hole-neutron stars: Precursor electromagnetic signals
V. Paschalidis, Z. B. Etienne, and S. L. Shapiro · 2013
Later among the works it cites.
A new scheme for matching general relativistic ideal magnetohydrodynamics to its force-free limit
V. Paschalidis and S. L. Shapiro · 2013
Later among the works it cites.
A Bayesian Approach to Multi-messenger Astronomy: Identification of Gravitational-wave Host Galaxies
X. Fan, C. Messenger, and I. S. Heng · 2014
Later among the works it cites.
Accretion disks around binary black holes of unequal mass: General relativistic magnetohydrodynamic simulations near decoupling
R. Gold, V. Paschalidis, Z. B. Etienne, S. L. Shapiro, and H. P. Pfeiffer · 2014
Later among the works it cites.
Accretion disks around binary black holes of unequal mass: GRMHD simulations of postdecoupling and merger
R. Gold, V. Paschalidis, M. Ruiz, S. L. Shapiro, Z. B. Etienne, and H. P. Pfeiffer · 2014
Later among the works it cites.
GRHydro: a new open-source general-relativistic magnetohydrodynamics code for the Einstein toolkit
P. Mösta, B. C. Mundim, J. A. Faber, R. Haas, S. C. Noble, T. Bode, F. Löffler, C. D. Ott, C. Reisswig, and E. Schnetter · 2014
Later among the works it cites.
Relativistic simulations of black hole-neutron star coalescence: the jet emerges
V. Paschalidis, M. Ruiz, and S. L. Shapiro · 2014
Later among the works it cites.
Pulsar spin-down luminosity: Simulations in general relativity
M. Ruiz, V. Paschalidis, and S. L. Shapiro · 2014
Later among the works it cites.