We study the numerical propagation of waves through future null infinity in a conformally compactified spacetime. We introduce an artificial cosmological constant, which allows us some control over the causal structure near null infinity. We exploit this freedom to ensure that all light cones are tilted outward in a region near null infinity, which allows us to impose excision-style boundary conditions in our finite-difference code. In this preliminary study we consider electromagnetic waves propagating in a static, conformally compactified spacetime
We present a new evolution system for Einstein’s field equations which is based on tetrad fields and...
Gravitational and electromagnetic radiation travel along light rays, which are principal null direct...
We consider an approach to the hyperboloidal evolution problem based on the Einstein equations writt...
We study the numerical propagation of waves through future null infinity in a conformally compactifi...
We study the numerical propagation of waves through future null infinity in a conformally compactifi...
This is a study of the behavior of wave equations in conformally compactified spacetimes suited to t...
Recent interesting astrophysical observations point towards a multi-messenger, multi-wavelength appr...
We use the conformal approach to numerical relativity to evolve hyperboloidal gravitational wave dat...
We describe a numerical method to construct Cauchy data extending to space-like infinity based on Co...
We describe the hyperboloidal compactification for Teukolsky equations in Kerr spacetime. We include...
Bondi (1962) proved mathematically the existence of gravitational waves at null infinity. He found a...
We implement a code to find the gravitational news at future null infinity by using data from a Cauc...
We discuss the hyperboloidal evolution problem in general relativity from a numerical perspective, a...
New boundary conditions are imposed on the familiar cylindrical gravitational wave vacuum spacetimes...
We present a spectral algorithm for solving the full nonlinear vacuum Einstein field equations in th...
We present a new evolution system for Einstein’s field equations which is based on tetrad fields and...
Gravitational and electromagnetic radiation travel along light rays, which are principal null direct...
We consider an approach to the hyperboloidal evolution problem based on the Einstein equations writt...
We study the numerical propagation of waves through future null infinity in a conformally compactifi...
We study the numerical propagation of waves through future null infinity in a conformally compactifi...
This is a study of the behavior of wave equations in conformally compactified spacetimes suited to t...
Recent interesting astrophysical observations point towards a multi-messenger, multi-wavelength appr...
We use the conformal approach to numerical relativity to evolve hyperboloidal gravitational wave dat...
We describe a numerical method to construct Cauchy data extending to space-like infinity based on Co...
We describe the hyperboloidal compactification for Teukolsky equations in Kerr spacetime. We include...
Bondi (1962) proved mathematically the existence of gravitational waves at null infinity. He found a...
We implement a code to find the gravitational news at future null infinity by using data from a Cauc...
We discuss the hyperboloidal evolution problem in general relativity from a numerical perspective, a...
New boundary conditions are imposed on the familiar cylindrical gravitational wave vacuum spacetimes...
We present a spectral algorithm for solving the full nonlinear vacuum Einstein field equations in th...
We present a new evolution system for Einstein’s field equations which is based on tetrad fields and...
Gravitational and electromagnetic radiation travel along light rays, which are principal null direct...
We consider an approach to the hyperboloidal evolution problem based on the Einstein equations writt...