Acronyms

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"Exploring New Physics Frontiers Through Numerical Relativity"

Vitor Cardoso and Leonardo Gualtieri and Carlos Herdeiro and Ulrich Sperhake

	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

ADM	Arnowitt–Deser–Misner
(A)dS	(Anti-)de Sitter
AH	Apparent horizon
BH	Black hole
BSSN	Baumgarte–Shapiro–Shibata–Nakamura
CFT	Conformal field theory
EOB	Effective one-body
GHG	Generalized Harmonic Gauge
EM	Electromagnetism, Electromagnetic
GR	General relativity
GW	Gravitational wave
IBVP	Initial-boundary-value problem
LHC	Large Hadron Collider
LIGO	Laser Interferometric Gravitational-Wave Observatory
NR	Numerical relativity
NS	Neutron star
PDE	Partial differential equation
PN	Post-Newtonian
PPN	Parametrized Post-Newtonian
QNM	Quasi-normal mode
RN	Reissner–Nordström
SMT	String/M theory
ZFL	Zero-frequency limit