RSS
News
Contacts
PDF
Comment
Abstract
Articles
by Volume
by Authors
by Subject
Upcoming
References
Journal
Details
Scope
Editors
Authors
Home
sidebar
"Exploring New Physics Frontiers Through Numerical Relativity"
Vitor Cardoso and Leonardo Gualtieri and Carlos Herdeiro and Ulrich Sperhake
Hide Subsections
Abstract
Acronyms
Notation and conventions
1
Prologue
2
Milestones
3
Strong Need for Strong Gravity
3.1
Astrophysics
3.2
Fundamental and mathematical issues
3.3
High-energy physics
4
Exact Analytic and Numerical Stationary Solutions
4.1
Exact solutions
4.2
Numerical stationary solutions
5
Approximation Schemes
5.1
Post-Newtonian schemes
5.2
Spacetime perturbation approach
5.3
The zero-frequency limit
5.4
Shock wave collisions
6
Numerical Relativity
6.1
Formulations of the Einstein equations
6.2
Higher-dimensional NR in effective “3 + 1” form
6.3
Initial data
6.4
Gauge conditions
6.5
Discretization of the equations
6.6
Boundary conditions
6.7
Diagnostics
7
Applications of Numerical Relativity
7.1
Critical collapse
7.2
Cosmic censorship
7.3
Hoop conjecture
7.4
Spacetime stability
7.5
Superradiance and fundamental massive fields
7.6
High-energy collisions
7.7
Alternative theories
7.8
Holography
7.9
Applications in cosmological settings
8
Conclusions
Acknowledgements
References
Footnotes
Figures
![[ ] 2 ( κu¯đ(¯u) ′′)2 ( κv¯đ(¯v) ′′)2 2 ds = − du¯d¯v+ 1 + ---2---Φ + 1 + ---2---Φ − 1 d¯ρ (32 ) [ ( ) ( ) ] 2 κu¯đ(¯u) ′ 2 κ¯vđ(¯v)- ′ 2 2 + ¯ρ 1 + 2ρ¯ Φ + 1 + 2¯ρ Φ − 1 dĪ . (33 )](article384x.gif)