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We {\it analytically} compute, to the eight-and-a-half post-Newtonian order, and to linear order in the mass ratio, the radial potential describing (within the effective one-body formalism) the gravitational interaction of two bodies,…

General Relativity and Quantum Cosmology · Physics 2015-06-19 Donato Bini , Thibault Damour

We give an improved formalism for calculating the evolution of density fluctuations and temperature perturbations in flat universes. Our equations are general enough to treat the perturbations in collisionless relics like massive neutrinos.…

Astrophysics · Physics 2011-05-12 Robert K. Schaefer , Andrew A. de Laix

We present an elementary derivation of the planetary advance of the perihelion for a general spherically symmetric line element in the post- newtonian approximation.

General Relativity and Quantum Cosmology · Physics 2012-02-23 Alexis Larranaga , Luis Cabarique

We present a new set of 3.5 Post-Newtonian equations in which Newtonian hydrodynamics is coupled to the nonconservative effects of gravitational radiation emission. Our formalism differs in two significant ways from a similar 3.5…

General Relativity and Quantum Cosmology · Physics 2009-10-31 L. Rezzolla , M. Shibata , H. Asada , T. W. Baumgarte , S. L. Shapiro

1 Introduction 2 Multipole Decomposition 3 Source Multipole Moments 4 Post-Minkowskian Approximation 5 Radiative Multipole Moments 6 Post-Newtonian Approximation 7 Point-Particles 8 Conclusion

General Relativity and Quantum Cosmology · Physics 2011-07-19 Luc Blanchet

Within scalar-tensor (ST) theories, neutron stars in binary systems experience tidal deformations caused by both their companion and the scalar field. These deformations are strongly correlated to the star's internal structure and…

General Relativity and Quantum Cosmology · Physics 2026-04-20 Eve Dones , Laura Bernard

Like the two-photon and two-gluon decays of the $P$-wave $\chi_{c0,2}$ and $\chi_{b0,2}$ charmonium state for which the Born term produces a very simple decgays amplitude in terms of an effective Lagrangian with two-quark local operator,…

High Energy Physics - Phenomenology · Physics 2018-11-14 T. N. Pham

In this work, a method for solving the constraints of general relativity is presented, where first all geometrical objects are written in terms of a set of orthonormal triads and a flat Weitzenbock connection, which depends on the triads…

General Relativity and Quantum Cosmology · Physics 2017-07-18 Daniel W. F. Alves

Soft or collinear photon emission potentially poses numerical problems in the phase-space integration of radiative processes. In this paper, a general subtraction formalism is presented that removes such singularities from the integrand of…

High Energy Physics - Phenomenology · Physics 2010-04-06 Stefan Dittmaier

We examine the radiative $\Delta \to \gamma N$ transition at the real photon point $Q^2=0$ using the framework of light-cone QCD sum rules. In particular, the sum rules for the transition form factors $G_M(0)$ and $R_{EM}$ are determined up…

High Energy Physics - Phenomenology · Physics 2008-11-26 J. Rohrwild

I present an update on the electroweak radiative correction factor to semileptonic tau decays, including a next-to-leading order resummation of large logarithms. My result differs both qualitatively and quantitatively from the one recently…

High Energy Physics - Phenomenology · Physics 2007-05-23 Jens Erler

We derive formulae that resum, at a given order in the soft limit, the infinite series of Post-Minkowskian (small gravitational coupling) or Post-Newtonian (small velocities) corrections to the gravitational waveform produced by particles…

General Relativity and Quantum Cosmology · Physics 2025-08-27 Andrea Cipriani , Giorgio Di Russo , Francesco Fucito , José Francisco Morales , Hasmik Poghosyan , Rubik Poghossian

Using equations of motion accurate to the third post-Newtonian (3PN) order (O(v/c)^6 beyond Newtonian gravity), we derive expressions for the total energy E and angular momentum J of the orbits of compact binary systems (black holes or…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Thierry Mora , Clifford M. Will

In order for a modified gravity model to be a candidate for cosmological dark energy it has to pass stringent local gravity experiments. We find that a Brans-Dicke (BD) theory with well-defined second order corrections that include the…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Luca Amendola , Christos Charmousis , Stephen C. Davis

We present a new variant of the Faa di Bruno formula with a simpler summation order.

General Mathematics · Mathematics 2014-10-24 Raymond Mortini

We use surface adapted ellipsoidal coordinates to obtain a first order post-Newtonian (PN) approximation to Dedekind ellipsoids with the intention of proceeding to higher orders.

General Relativity and Quantum Cosmology · Physics 2010-03-12 Norman Gürlebeck , David Petroff

The recent observations of type Ia supernovae suggest that the universe is accelerating now and decelerated in the recent past. This may be the evidence of the breakdown of the standard Friedmann equation. The Friedmann equation $H^2\sim…

Astrophysics · Physics 2009-09-29 Yungui Gong , Chang-Kui Duan

High-precision astrometry on sub-micro-arcsecond level in angular resolution requires accurate determination of the trajectory of a light-signal from the celestial light source through the gravitational field of the Solar system toward the…

General Relativity and Quantum Cosmology · Physics 2017-07-25 Sven Zschocke

Within the post Newtonian framework the fully reduced Hamiltonian (i.e., with eliminated spin supplementary condition) for the next-to-leading order spin-squared dynamics of general compact binaries is presented. The Hamiltonian is…

General Relativity and Quantum Cosmology · Physics 2010-06-04 Steven Hergt , Jan Steinhoff , Gerhard Schaefer

The amplitude of the Dalitz decay pi0 -> e+ e gamma is studied and its model-independent properties are discussed in detail. A calculation of radiative corrections is performed within the framework of two-flavour chiral perturbation theory,…

High Energy Physics - Phenomenology · Physics 2009-01-07 Karol Kampf , Marc Knecht , Jiri Novotny