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The Confrontation between General Relativity and Experiment
 Living Rev. Relativity 9
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The motion of point particles in curved spacetime, Living Rev
 Relativity 7 (2004) and (arXiv grqc/0306052
"... This review is concerned with the motion of a point scalar charge, a point electric charge, and a point mass in a specified background spacetime. In each of the three cases the particle produces a field that behaves as outgoing radiation in the wave zone, and therefore removes energy from the partic ..."
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Cited by 64 (3 self)
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This review is concerned with the motion of a point scalar charge, a point electric charge, and a point mass in a specified background spacetime. In each of the three cases the particle produces a field that behaves as outgoing radiation in the wave zone, and therefore removes energy from the particle. In the near zone the field acts on the particle and gives rise to a selfforce that prevents the particle from moving on a geodesic of the background spacetime. The selfforce contains both conservative and dissipative terms, and the latter are responsible for the radiation reaction. The work done by the selfforce matches the energy radiated away by the particle. The field’s action on the particle is difficult to calculate because of its singular nature: the field diverges at the position of the particle. But it is possible to isolate the field’s singular part and show that it exerts no force on the particle — its only effect is to contribute to the particle’s inertia. What remains after subtraction is a smooth field that is fully responsible for the selfforce. Because this field satisfies a homogeneous wave equation, it can be thought of as a free (radiative) field that interacts with the particle; it is this interaction that gives rise to the selfforce. The mathematical tools required to derive the equations of motion of a point scalar charge, a point
The global stability of Minkowski spacetime in harmonic gauge
 Ann. of Math
"... In this paper we address the question of stability of Minkowski spacetime for the system of the ..."
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Cited by 41 (3 self)
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In this paper we address the question of stability of Minkowski spacetime for the system of the
Matched asymptotic expansion for caged black holes: Regularization of the postNewtonian order
"... Abstract: The “dialogue of multipoles ” matched asymptotic expansion for small black holes in the presence of compact dimensions is extended to the PostNewtonian order for arbitrary dimensions. Divergences are identified and are regularized through the matching constants, a method valid to all orde ..."
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Cited by 17 (2 self)
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Abstract: The “dialogue of multipoles ” matched asymptotic expansion for small black holes in the presence of compact dimensions is extended to the PostNewtonian order for arbitrary dimensions. Divergences are identified and are regularized through the matching constants, a method valid to all orders and known as Hadamard’s partie finie. It is closely related to “subtraction of selfinteraction ” and shows similarities with the regularization of quantum field theories. The black hole’s mass and tension (and the “black hole Archimedes effect”) are obtained explicitly at this order, and a Newtonian derivation for the leading term in the tension is demonstrated. Implications for the phase diagram are analyzed, finding agreement with numerical results and extrapolation shows hints for Sorkin’s critical dimension – a dimension where the transition turns second order. Contents
Living Reviews in Relativity
, 2006
"... The status of experimental tests of general relativity and of theoretical frameworks for analysing them are reviewed. Einstein’s equivalence principle (EEP) is well supported by experiments such as the Eötvös experiment, tests of special relativity, and the gravitational redshift experiment. Fut ..."
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Cited by 13 (1 self)
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The status of experimental tests of general relativity and of theoretical frameworks for analysing them are reviewed. Einstein’s equivalence principle (EEP) is well supported by experiments such as the Eötvös experiment, tests of special relativity, and the gravitational redshift experiment. Future tests of EEP and of the inverse square law will search for new interactions arising from unification or quantum gravity. Tests of general relativity at the postNewtonian level have reached high precision, including the light deflection, the Shapiro time delay, the perihelion advance of Mercury, and the Nordtvedt effect in lunar motion. Gravitational wave damping has been detected in an amount that agrees with general relativity to half a percent using the HulseTaylor binary pulsar, and new binary pulsar systems may yield further improvements. When direct observation of gravitational radiation from astrophysical sources begins, new tests of general relativity will be possible. c©2001 MaxPlanckGesellschaft and the authors. Further information on copyright is given at
Blackhole binaries, gravitational waves, and numerical relativity”, Rev
 Mod. Phys
, 2010
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Binary systems as testbeds of gravity theories
, 2007
"... We review the general relativistic theory of the motion, and of the timing, of binary systems containing compact objects (neutron stars or black holes). Then we indicate the various ways one can use binary pulsar data to test the strongfield and/or radiative aspects of General Relativity, and of ge ..."
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Cited by 11 (0 self)
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We review the general relativistic theory of the motion, and of the timing, of binary systems containing compact objects (neutron stars or black holes). Then we indicate the various ways one can use binary pulsar data to test the strongfield and/or radiative aspects of General Relativity, and of general classes of alternative theories of relativistic gravity.
The basics of gravitational wave theory
 New J. Phys
, 2005
"... Abstract. Einstein’s special theory of relativity revolutionized physics by teaching us that space and time are not separate entities, but join as “spacetime”. His general theory of relativity further taught us that spacetime is not just a stage on which dynamics takes place, but is a participant: T ..."
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Cited by 10 (1 self)
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Abstract. Einstein’s special theory of relativity revolutionized physics by teaching us that space and time are not separate entities, but join as “spacetime”. His general theory of relativity further taught us that spacetime is not just a stage on which dynamics takes place, but is a participant: The field equation of general relativity connects matter dynamics to the curvature of spacetime. Curvature is responsible for gravity, carrying us beyond the Newtonian conception of gravity that had been in place for the previous two and a half centuries. Much research in gravitation since then has explored and clarified the consequences of this revolution; the notion of dynamical spacetime is now firmly established in the toolkit of modern physics. Indeed, this notion is so well established that we may now contemplate using spacetime as a tool for other science. One aspect of dynamical spacetime — its radiative character, “gravitational radiation ” — will inaugurate entirely new techniques for observing violent astrophysical processes. Over the next one hundred years, much of this subject’s excitement will come from learning how to exploit spacetime as a tool for astronomy. This article is intended as a tutorial in the basics of gravitational radiation physics. 1. Introduction: Spacetime and
Listening to the universe with gravitationalwave astronomy,” Annals Phys
, 2003
"... The LIGO (Laser Interferometer GravitationalWave Observatory) detectors have just completed their first science run, following many years of planning, research, and development. LIGO is a member of what will be a worldwide network of gravitationalwave observatories, with other members in Europe, J ..."
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Cited by 7 (2 self)
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The LIGO (Laser Interferometer GravitationalWave Observatory) detectors have just completed their first science run, following many years of planning, research, and development. LIGO is a member of what will be a worldwide network of gravitationalwave observatories, with other members in Europe, Japan, and — hopefully — Australia. Plans are rapidly maturing for a low frequency, spacebased