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We outline how Bohmian mechanics works: how it deals with various issues in the foundations of quantum mechanics and how it is related to the usual quantum formalism. We then turn to some objections to Bohmian mechanics, for example the…

Quantum Physics · Physics 2007-05-23 Detlef Dürr , Sheldon Goldstein , Nino Zangh\`ı

We introduce a novel approach for detecting gravitational waves through their influence on the shape of resolved astronomical objects. This method, complementary to pulsar timing arrays and astrometric techniques, explores the…

Cosmology and Nongalactic Astrophysics · Physics 2024-10-22 Giorgio Mentasti , Carlo R. Contaldi

We study some quantum mechanical aspects of dynamical black holes where the Vaidya metric is used as a model representing evaporating black holes. It is shown that in this model the Wheeler-DeWitt equation is solvable in whole region of…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Ichiro Oda

We present an efficient numerical code based on spectral methods to integrate the field equations of general Robinson-Trautmann spacetimes. The most natural basis functions for the spectral expansion of the metric functions are spherical…

General Relativity and Quantum Cosmology · Physics 2011-11-10 H. P. de Oliveira , E. L. Rodrigues , J. E. F. Skea

Gravitational wave science is on the verge of direct observation of the waves predicted by Einstein's General Theory of Relativity and opening the exciting new field of gravitational wave astronomy. In the coming decades, ultra-sensitive…

Bohmian mechanics offers a deterministic alternative to conventional quantum theory through well-defined particle trajectories. While successful in nonrelativistic contexts, its extension to curved spacetime-and hence quantum…

General Relativity and Quantum Cosmology · Physics 2025-02-13 Mohamed Hatifi

Basic principles of the Hamilton approach developed for the metric General Relativity (Einstein`s GR) are discussed. In particular, we derive the Hamiltonian of the metric GR in the explicit form. This Hamiltonian is a quadratic function of…

General Physics · Physics 2016-01-15 Alexei M. Frolov

In this paper, the emission of gravitational waves in quadratic gravity theory is examined. The wave equations for massless and massive perturbations are derived, followed by the calculation of the energy and angular momentum radiated. In…

General Relativity and Quantum Cosmology · Physics 2025-04-23 Matheus F. S. Alves , R. R. Cuzinatto , C. A. M. de Melo , L. G. Medeiros , P. J. Pompeia

The theory of gravitational wave turbulence describes the long-term statistical behaviour of a set of weakly nonlinear interacting waves. In this paper, we aim to study aspects of gravitational turbulence within the framework of general…

General Relativity and Quantum Cosmology · Physics 2026-04-01 Benoît Gay , Eugeny Babichev , Sébastien Galtier , Karim Noui

We give a twist to the assumption - discussed in various earlier works - that gravity plays a role in the collapse of the wave function. This time we discuss the contrary assumption that the collapse of the wave function plays a role in the…

Quantum Physics · Physics 2009-07-24 Lajos Diósi

We report application of a method for extracting gravitational waves to three-dimensional numerical simulation on coalescing binary neutron stars. We found the extracted wave form includes the componets corresponding to the quadrupole part…

Astrophysics · Physics 2009-11-10 Mari Kawamura , Ken-ichi Oohara

Gravitational waves are considered as metric perturbations about a curved background metric, rather than the flat Minkowski metric since several situations of physical interest can be discussed by this generalization. In this case, when the…

General Relativity and Quantum Cosmology · Physics 2008-12-21 Donato Bini , Salvatore Capozziello , Giampiero Esposito

We investigate the potential and limitations of the wave generation by disturbances moving at the bottom. More precisely, we assume that the wavemaker is composed of an underwater object of a given shape which can be displaced according to…

Classical Physics · Physics 2019-12-16 Hayk Nersisyan , Denys Dutykh , Enrique Zuazua

Gravitational wave detectors are already operating at interesting sensitivity levels, and they have an upgrade path that should result in secure detections by 2014. We review the physics of gravitational waves, how they interact with…

General Relativity and Quantum Cosmology · Physics 2015-05-13 B. S. Sathyaprakash , B. F. Schutz

Gravitational waves from oscillating neutron stars in axial symmetry are studied performing numerical simulations in full general relativity. Neutron stars are modeled by a polytropic equation of state for simplicity. A gauge-invariant wave…

Astrophysics · Physics 2009-11-10 Masaru Shibata , Yuichirou Sekiguchi

The "gravitational memory effect" due to an exact plane wave provides us with an elementary description of the diffeomorphisms associated with soft gravitons. It is explained how the presence of the latter may be detected by observing the…

General Relativity and Quantum Cosmology · Physics 2017-10-02 P. -M. Zhang , C. Duval , G. W. Gibbons , P. A. Horvathy

Bohmian mechanics is a non-relativistic quantum theory based on a particle approach. In this paper we study the Schr\"odinger equation with rapidly oscillating potential and the associated Bohmian trajectory. We prove that the corresponding…

Mathematical Physics · Physics 2024-06-19 Dandan Li , Jinqiao Duan , Li Lin , Ao Zhang

In this article we propose a new method for reducing Newtonian noise in laser-interferometric gravitational-wave detectors located on the Earth's surface. We show that by excavating meter-scale recesses in the ground around the main test…

General Relativity and Quantum Cosmology · Physics 2015-06-19 Jan Harms , Stefan Hild

The nonlinear Schr\"odinger-Newton equation, a prospective semiclassical alternative to a quantized theory of gravity, predicts a gravitational self-force between the two trajectories corresponding to the two z-spin eigenvalues for a…

General Relativity and Quantum Cosmology · Physics 2025-01-15 André Großardt

In this review we consider the quadratic Metric-Affine Gauge gravity Lagrangian, which contains all the algebraic invariants up to quadratic order in torsion, nonmetricity and curvature. The goal will be to collect the known exact solutions…

General Relativity and Quantum Cosmology · Physics 2022-11-09 Alejandro Jiménez-Cano