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By suitably re-scaling the conformal Einstein's equations we are able to apply recent results in the theory of PDE, and prove that they possess slow solutions in a future neighborhood of an initial surface reaching ${\cal I}^+$. The…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Mirta S. Iriondo , Enzo O. Leguizamón , Oscar A. Reula

We derive a relativistic field equation for the trace of the metric perturbation beyond the weak field approximation to the Einstein field equations. The dynamics is governed by a massive Klein-Gordon equation on curved space-time, where…

General Physics · Physics 2025-05-02 Victor Atanasov , Avadh Saxena

We present results from simulations of axisymmetric relativistic rotational core collapse. The general relativistic hydrodynamic equations are formulated in flux-conservative form and solved using a high-resolution shock-capturing scheme.…

Astrophysics · Physics 2009-11-06 Harald Dimmelmeier , Jose A. Font , Ewald Mueller

Some years ago, a new powerful technique, known as the Classical Effective Field Theory, was proposed to describe classical phenomena in gravitational systems. Here we show how this approach can be useful to investigate theoretically…

High Energy Physics - Theory · Physics 2008-12-18 Vitor Cardoso , Oscar J. C. Dias , Pau Figueras

One method for the numerical treatment of future null-infinity is to decouple coordinates from the tensor basis and choose each in a careful manner. This dual-frame approach is hampered by logarithmically divergent terms that appear in a…

General Relativity and Quantum Cosmology · Physics 2020-01-29 Edgar Gasperin , Shalabh Gautam , David Hilditch , Alex Vañó-Viñuales

Using the Sparling form and a geometric construction adapted to spacetimes with a 2-dimensional isometry group, we analyse a quasi-local measure of gravitational energy. We then study the gravitational radiation through spacetime junctions…

General Relativity and Quantum Cosmology · Physics 2018-11-27 Alfonso García-Parrado , Filipe C. Mena

We are developing 3 dimensional simulation codes for coalescing binary neutron stars. A code using the maximal slicing condition is obtained. To evaluate the gravitational radiation, we implemented a gauge-invariant wave extraction and…

Astrophysics · Physics 2007-05-23 Mari Kawamura , Ken-ichi Oohara , Takashi Nakamura

This dissertation consists of four parts. In Part I, we briefly review fundamental theories of gravity, performed experimental tests, and gravitational waves. The framework and the methods that we use in our calculations are discussed in…

General Relativity and Quantum Cosmology · Physics 2013-08-27 Saeed Mirshekari

We show that gravitational waves can act as waveguides for electromagnetic radiation, that is if the latter is initially aligned with the gravitational waves, then the alignment will survive during the propagation. The analysis is performed…

General Relativity and Quantum Cosmology · Physics 2022-10-21 A. A. Kocharyan , M. Samsonyan , V. G. Gurzadyan

Various alternative theories of gravity predict dipolar gravitational radiation in addition to quadrupolar radiation. We show that gravitational wave (GW) observations of inspiralling compact binaries can put interesting constraints on the…

General Relativity and Quantum Cosmology · Physics 2015-06-04 K. G. Arun

In principle, global properties of solution of Einstein equations need to be addressed using the conformal Einstein equations, because this conformal compactification allows a clean definition of the `infinities' (spacelike, timelike and…

General Relativity and Quantum Cosmology · Physics 2025-07-14 Thomas Mädler , Emanuel Gallo

The calculating of the coherent information is a fundamental step in obtaining the quantum capacity of a quantum channel. We introduce orthogonal and complete code basis to evaluate the coherent information per channel use when the input is…

Quantum Physics · Physics 2010-07-28 Xiao-yu Chen , Li-zhen Jiang

This paper is the fourth in a series dedicated to the mathematically rigorous asymptotic analysis of gravitational radiation under astrophysically realistic setups. It provides an overview of the physical ideas involved in setting up the…

General Relativity and Quantum Cosmology · Physics 2025-08-20 Lionor Kehrberger

A comprehensive description is given of a space--time model of an accelerating massive particle. The particle radiates gravitational waves with optical shear. The wave fronts are smoothly deformed spheres and the particle experiences…

General Relativity and Quantum Cosmology · Physics 2025-03-27 Peter A. Hogan , Dirk Puetzfeld

Gravitational wave memory is an important prediction of general relativity. The detection of the gravitational wave memory can be used to test general relativity and to deduce the property of the gravitational wave source. Quantitative…

General Relativity and Quantum Cosmology · Physics 2023-02-07 Xiaolin Liu , Xiaokai He , Zhoujian Cao

We have done a series of two-dimensional hydrodynamic simulations of the rotational collapse of a supernova core in axisymmetry. We have employed a realistic equation of state (EOS) and taken into account electron captures and neutrino…

Astrophysics · Physics 2016-08-30 Kei Kotake , Shoichi Yamada , Katsuhiko Sato

The existing predictions of the energy density of gravitational waves produced during preheating mostly rely on computer simulations in which the matter field inhomogeneities essentially behave classically. In this article we follow instead…

Cosmology and Nongalactic Astrophysics · Physics 2020-02-25 C. Armendariz-Picon

Gravitational coupling of the propagation four-vectors of matter wave functions is formulated in flat space-time. Coupling at the momentum level rather than at the "force-law" level greatly simplifies many calculations. This locally…

General Relativity and Quantum Cosmology · Physics 2015-03-18 Carver Mead

We consider smooth null cones in a vacuum spacetime that extend to future null infinity. For such cones that are perturbations of shear-free outgoing null cones in Schwarzschild spacetimes, we prove bounds for the Bondi energy, momentum,…

Analysis of PDEs · Mathematics 2016-09-14 Spyros Alexakis , Arick Shao

Gravitational wave (GW) source counts have been recently shown to be able to test how gravitational radiation propagates with the distance from the source. Here, we extend this formalism to cosmological scales, i.e. the high redshift…

Cosmology and Nongalactic Astrophysics · Physics 2016-07-18 Juan García-Bellido , Savvas Nesseris , Manuel Trashorras
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