Gravitational Waves from Generalized Newtonian Sources
I review the elementary theory of gravitational waves on a Minkowski background and the quadrupole approximation. The modified conservation laws for energy and momentum keeping track of the gravitational‐wave flux are presented. The theory is applied to two‐body systems in bound and scattering state...
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| Published in | Fortschritte der Physik Vol. 67; no. 3 |
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| Main Author | |
| Format | Journal Article |
| Language | English |
| Published |
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01.03.2019
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| Abstract | I review the elementary theory of gravitational waves on a Minkowski background and the quadrupole approximation. The modified conservation laws for energy and momentum keeping track of the gravitational‐wave flux are presented. The theory is applied to two‐body systems in bound and scattering states subject to newtonian gravity generalized to include a 1/r3 force allowing for orbital precession. The evolution of the orbits is studied in the adiabatic approximation. From these results I derive the conditions for capture of two bodies to form a bound state by the emission of gravitational radiation.
The author reviews the elementary theory of gravitational waves on a Minkowski background and the quadrupole approximation. The modified conservation laws for energy and momentum keeping track of the gravitational‐wave flux are presented. The theory is applied to two‐body systems in bound and scattering states subject to newtonian gravity generalized to include a 1/r3 force allowing for orbital precession. The evolution of the orbits is studied in the adiabatic approximation. From these results the conditions for capture of two bodies to form a bound state by the emission of gravitational radiation are derived. |
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| AbstractList | I review the elementary theory of gravitational waves on a Minkowski background and the quadrupole approximation. The modified conservation laws for energy and momentum keeping track of the gravitational‐wave flux are presented. The theory is applied to two‐body systems in bound and scattering states subject to newtonian gravity generalized to include a 1/r3 force allowing for orbital precession. The evolution of the orbits is studied in the adiabatic approximation. From these results I derive the conditions for capture of two bodies to form a bound state by the emission of gravitational radiation.
The author reviews the elementary theory of gravitational waves on a Minkowski background and the quadrupole approximation. The modified conservation laws for energy and momentum keeping track of the gravitational‐wave flux are presented. The theory is applied to two‐body systems in bound and scattering states subject to newtonian gravity generalized to include a 1/r3 force allowing for orbital precession. The evolution of the orbits is studied in the adiabatic approximation. From these results the conditions for capture of two bodies to form a bound state by the emission of gravitational radiation are derived. I review the elementary theory of gravitational waves on a Minkowski background and the quadrupole approximation. The modified conservation laws for energy and momentum keeping track of the gravitational‐wave flux are presented. The theory is applied to two‐body systems in bound and scattering states subject to newtonian gravity generalized to include a 1/r3 force allowing for orbital precession. The evolution of the orbits is studied in the adiabatic approximation. From these results I derive the conditions for capture of two bodies to form a bound state by the emission of gravitational radiation. I review the elementary theory of gravitational waves on a Minkowski background and the quadrupole approximation. The modified conservation laws for energy and momentum keeping track of the gravitational‐wave flux are presented. The theory is applied to two‐body systems in bound and scattering states subject to newtonian gravity generalized to include a force allowing for orbital precession. The evolution of the orbits is studied in the adiabatic approximation. From these results I derive the conditions for capture of two bodies to form a bound state by the emission of gravitational radiation. The author reviews the elementary theory of gravitational waves on a Minkowski background and the quadrupole approximation. The modified conservation laws for energy and momentum keeping track of the gravitational‐wave flux are presented. The theory is applied to two‐body systems in bound and scattering states subject to newtonian gravity generalized to include a 1/r 3 force allowing for orbital precession. The evolution of the orbits is studied in the adiabatic approximation. From these results the conditions for capture of two bodies to form a bound state by the emission of gravitational radiation are derived. |
| Author | Holten, J. W. |
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| Cites_doi | 10.1103/PhysRevLett.116.061102 10.1103/PhysRev.131.435 10.1103/PhysRevLett.119.141101 10.1143/PTP.121.843 10.1103/PhysRevD.94.104015 10.1103/PhysRevLett.116.221101 10.1016/0375-9601(81)90567-3 10.1103/PhysRev.136.B1224 10.12942/lrr-2014-2 10.1088/0264-9381/32/1/015012 10.1103/PhysRevLett.119.161101 10.1103/PhysRevD.71.104003 10.1086/167917 10.1088/0264-9381/28/22/225022 10.1103/PhysRevD.55.2124 |
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| SubjectTerms | Approximation Conservation laws Energy conservation Gravitation theory gravitational capture Gravitational waves Mathematical analysis precessing orbits Quadrupoles |
| Title | Gravitational Waves from Generalized Newtonian Sources |
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