Article records
https://feeds.library.caltech.edu/people/Bardeen-J-M/article.rss
A Caltech Library Repository Feedhttp://www.rssboard.org/rss-specificationpython-feedgenenTue, 16 Apr 2024 13:18:54 +0000Radiation fields in the Schwarzschild background
https://resolver.caltech.edu/CaltechAUTHORS:BARjmp73
Authors: {'items': [{'id': 'Bardeen-J-M', 'name': {'family': 'Bardeen', 'given': 'James M.'}}, {'id': 'Press-W-H', 'name': {'family': 'Press', 'given': 'William H.'}}]}
Year: 1973
DOI: 10.1063/1.1666175
Scalar, electromagnetic, and gravitational test fields in the Schwarzschild background are examined with the help of the general retarded solution of a single master wave equation. The solution for each multipole is generated by a single arbitrary function of retarded time, the retarded multipole moment. We impose only those restrictions on the time dependence of the multipole moment which are required for physical regularity. We find physically well-behaved solutions which (i) do not satisfy the Penrose peeling theorems at past null infinity and/or (ii) do not have well-defined Newman-Penrose quantities. Even when the NP quantities exist, they are not measurable; they represent an "average" multipole moment over the infinite past, and their conservation is essentially trivial.https://authors.library.caltech.edu/records/fh932-c1x92Black hole initial data on hyperboloidal slices
https://resolver.caltech.edu/CaltechAUTHORS:20091124-153221088
Authors: {'items': [{'id': 'Buchman-L-T', 'name': {'family': 'Buchman', 'given': 'Luisa T.'}}, {'id': 'Pfeiffer-H-P', 'name': {'family': 'Pfeiffer', 'given': 'Harald P.'}, 'orcid': '0000-0001-9288-519X'}, {'id': 'Bardeen-J-M', 'name': {'family': 'Bardeen', 'given': 'James M.'}}]}
Year: 2009
DOI: 10.1103/PhysRevD.80.084024
We generalize Bowen-York black hole initial data to hyperboloidal constant mean curvature slices which extend to future null infinity. We solve this initial value problem numerically for several cases, including unequal mass binary black holes with spins and boosts. The singularity at null infinity in the Hamiltonian constraint associated with a constant mean curvature hypersurface does not pose any particular difficulties. The inner boundaries of our slices are minimal surfaces. Trumpet configurations are explored both analytically and numerically.https://authors.library.caltech.edu/records/rkp4p-y6932Tetrad formalism for numerical relativity on conformally compactified constant mean curvature hypersurfaces
https://resolver.caltech.edu/CaltechAUTHORS:20110603-110611382
Authors: {'items': [{'id': 'Bardeen-J-M', 'name': {'family': 'Bardeen', 'given': 'James M.'}}, {'id': 'Sarbach-O', 'name': {'family': 'Sarbach', 'given': 'Olivier'}}, {'id': 'Buchman-L-T', 'name': {'family': 'Buchman', 'given': 'Luisa T.'}}]}
Year: 2011
DOI: 10.1103/PhysRevD.83.104045
We present a new evolution system for Einstein's field equations which is based on tetrad fields and conformally compactified hyperboloidal spatial hypersurfaces which reach future null infinity. The boost freedom in the choice of the tetrad is fixed by requiring that its timelike leg be orthogonal to the foliation, which consists of constant mean curvature slices. The rotational freedom in the tetrad is fixed by the 3D Nester gauge. With these conditions, the field equations reduce naturally to a first-order constrained symmetric hyperbolic evolution system which is coupled to elliptic equations for the gauge variables. The conformally rescaled equations are given explicitly, and their regularity at future null infinity is discussed. Our formulation is potentially useful for high accuracy numerical modeling of gravitational radiation emitted by inspiraling and merging black hole binaries and other highly relativistic isolated systems.https://authors.library.caltech.edu/records/s54jc-3yn63Bondi-Sachs energy-momentum for the constant mean extrinsic curvature initial value problem
https://resolver.caltech.edu/CaltechAUTHORS:20120413-104927484
Authors: {'items': [{'id': 'Bardeen-J-M', 'name': {'family': 'Bardeen', 'given': 'James M.'}}, {'id': 'Buchman-L-T', 'name': {'family': 'Buchman', 'given': 'Luisa T.'}}]}
Year: 2012
DOI: 10.1103/PhysRevD.85.064035
The constraints on the asymptotic behavior of the conformal factor and conformal extrinsic curvature imposed by the initial value equations of general relativity on constant mean extrinsic curvature (CMC) hypersurfaces are analyzed in detail. We derive explicit formulas for the Bondi-Sachs energy and momentum in terms of coefficients of asymptotic expansions on CMC hypersurfaces near future null infinity. Precise numerical results for the Bondi-Sachs energy, momentum, and angular momentum are used to interpret physically Bowen-York initial data on conformally flat CMC hypersurfaces similar to that calculated earlier by Buchman et al. [ L. T. Buchman, H. P. Pfeiffer and J. M. Bardeen Phys. Rev. D 80 084024-1 (2009)].https://authors.library.caltech.edu/records/f5zrw-chw32