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Post-Newtonian theory for gravitational waves
To be observed and analyzed by the network of current gravitational-wave detectors (LIGO, Virgo, KAGRA), and in anticipation of future third...
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Gravitational Waves and Post-Newtonian Approximation
In this chapter we discuss the gravitational waves, which can be derived using the linearized Einstein field equations. We discuss also sources of...
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Post Newtonian emission of gravitational waves from binary systems: a gauge theory perspective
Using the AGT correspondence and localization, we derive a combinatorial formula for the Post-Newtonian expansion of the wave form describing the...
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A self-gravitating system composed of baryonic and dark matter analysed from the post-Newtonian Boltzmann equations
We study the Jeans gravitational instability for a mixture of baryonic and dark matter particles, in the post-Newtonian approximation. We adopt a...
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Gravitoelectric dynamical tides at second post-Newtonian order
We present a gravitoelectric quadrupolar dynamical tidal-interaction Hamiltonian for a compact binary system, that is valid to second order in the...
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Renormalizing Love: tidal effects at the third post-Newtonian order
We present the conservative effective two-body Hamiltonian at the third order in the post-Newtonian expansion with gravitoelectric quadrupolar...
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Gravitational spin-orbit Hamiltonian at NNNLO in the post-Newtonian framework
We present the result of the spin-orbit interaction Hamiltonian for binary systems of rotating compact objects with generic spins, up to N 3 LO...
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Hamiltonian formulation of general relativity and post-Newtonian dynamics of compact binaries
Hamiltonian formalisms provide powerful tools for the computation of approximate analytic solutions of the Einstein field equations. The...
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Gravitational quadratic-in-spin Hamiltonian at NNNLO in the post-Newtonian framework
We present the result of the quadratic-in-spin interaction Hamiltonian for binary systems of rotating compact objects with generic spins, up to N 3 LO...
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Radiative losses and radiation-reaction effects at the first post-Newtonian order in Einstein–Cartan theory
Gravitational radiation-reaction phenomena occurring in the dynamics of inspiralling compact binary systems are investigated at the first...
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Testing the post-Newtonian expansion with GW170817
Observations of gravitational waves from compact binary mergers have enabled unique tests of general relativity in the dynamical and non-linear...
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Jeans instability from post-Newtonian Boltzmann equation
Jeans instability within the framework of post-Newtonian Boltzmann and Poisson equations are analyzed. The components of the energy–momentum tensor...
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Gravitational waves at the first post-Newtonian order with the Weyssenhoff fluid in Einstein–Cartan theory
The generation of gravitational waves from a post-Newtonian source endowed with a quantum spin, modeled by the Weyssenhoff fluid, is investigated in...
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Explicit near-symplectic integrators for post-Newtonian Hamiltonian systems
Explicit symplectic integrators are powerful and widely used for Hamiltonian systems. However, once the post-Newtonian (PN) effect is considered to...
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Post-Newtonian Templates for Gravitational Waves from Compact Binary Inspirals
To enable detection and maximize the physics output of gravitational wave observations from compact binary systems, the availability of accurate...
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The Post-Newtonian Approximation
The motion of near-Earth objects and solar system bodies is primarily dictated by gravity.
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Gravity at the Second Post Newtonian Order
Chapter 6 presents an overview of Post Newtonian Parametrization (PPN), a unified formalism to describe most metric theories of gravity. Ten...
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Post-Newtonian Energy Integrals
In this chapter, we consider the first integral for energy associated with the post-Newtonian Kepler problem.
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First post-Newtonian N-body problem in Einstein–Cartan theory with the Weyssenhoff fluid: equations of motion
We derive the equations of motion for an N -body system in the Einstein–Cartan gravity theory at the first post-Newtonian order by exploiting the...
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First post-Newtonian N-body problem in Einstein–Cartan theory with the Weyssenhoff fluid: Lagrangian and first integrals
The rotational dynamics of an N -body system at the first post-Newtonian order in Einstein–Cartan theory is derived. This result is achieved by...