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52 papers · 2 filters
On characteristic initial data for a star orbiting a black hole
Nigel T. Bishop, Roberto Gomez, Luis Lehner +2
We take further steps in the development of the characteristic approach to enable handling the physical problem of a compact self-gravitating object, such as a neutron star, in clo…
On the existence of initial data containing isolated black holes
Sergio Dain, Jose Luis Jaramillo, Badri Krishnan
We present a general construction of initial data for Einstein's equations containing an arbitrary number of black holes, each of which is instantaneously in equilibrium. Each blac…
Modeling the Black Hole Excision Problem
B. Szilagyi, H-O. Kreiss, J. Winicour
We analyze the excision strategy for simulating black holes. The problem is modeled by the propagation of quasi-linear waves in a 1-dimensional spatial region with timelike outer b…
New class of post-Newtonian approximants to the waveform templates of inspiralling compact binaries: Test-mass in the Schwarzschild spacetime
P. Ajith, Bala R. Iyer, C. A. K. Robinson +1
(Abridged): The standard adiabatic approximation to phasing of gravitational waves from inspiralling compact binaries uses the post-Newtonian expansions of the binding energy and g…
Testing the Master Constraint Programme for Loop Quantum Gravity II. Finite Dimensional Systems
Bianca Dittrich, Thomas Thiemann
This is the second paper in our series of five in which we test the Master Constraint Programme for solving the Hamiltonian constraint in Loop Quantum Gravity. In this work we begi…
Testing the Master Constraint Programme for Loop Quantum Gravity I. General Framework
Bianca Dittrich, Thomas Thiemann
Recently the Master Constraint Programme for Loop Quantum Gravity (LQG) was proposed as a classically equivalent way to impose the infinite number of Wheeler -- DeWitt constraint e…