Interaction of gravitational waves with matter

Cetoli, Alberto; Pethick, C. J.

doi:10.1103/physrevd.85.064036

Cited by 7 publications

(9 citation statements)

References 16 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Namely, following such a naive procedure, one does not distinguish between lower and upper indices of the spin-2 tensor field. In other words, such tensor indices are raised and lowered by the flat Minkowski tensor η μν , not by the full metric tensor μν g describing the curved background [16]. All this could potentially lead to wrong or inaccurate results.…”

Section: Discussionmentioning

confidence: 99%

See 1 more Smart Citation

On the gravitational scattering of gravitational waves

Sorge

2015

Class. Quantum Grav.

View full text Add to dashboard Cite

We discuss the scattering of weak gravitational waves from a slowly rotating gravitational source, having mass M and angular momentum . We start considering the dynamics of a massless spin-2 field propagating in the weak gravitational field of the source, writing down the Fierz–Pauli in the presence of a slightly curved background. We adopt a semiclassical framework, where the gravitational background is described as a classical external field; meanwhile, the spin-2 field is treated quantum mechanically. In the weak-coupling limit, in which the typical wavelength of satisfies (where Rs is the Schwarzschild radius of the source), we obtain the cross-section for the scattering process in the Born approximation. We also discuss helicity asymmetry, showing its relationship with the spin-2 field coupling to the derivatives of the background metric. We finally consider the transition to the case of gravitational wave scattering, showing that—under reasonable assumptions—gravitational waves are expected to follow the same behavior. Our results partly agree with those presented through the years by various authors. The present analysis suggests that the scattering of weak gravitational waves in the field of a macroscopic gravitational source still represents an interesting open issue for further careful investigation.

show abstract

Section: Discussionmentioning

confidence: 99%

“…g g is the gravitational interaction Lagrangian. We stress that in order to properly evaluate  g , care must be taken to distinguish upper and lower indices [16]. Hence in (4.…”

Section: 1)mentioning

confidence: 99%

On the gravitational scattering of gravitational waves

Sorge

2015

Class. Quantum Grav.

View full text Add to dashboard Cite

show abstract

“…In the weak field limit g μν = η μν + h μν , |h μν | 1, we may expand the matter Lagrangian as follows [59]:…”

Section: Weak Gravity: a Lagrangian Approachmentioning

confidence: 99%

Quasi-local Casimir energy and vacuum buoyancy in a weak gravitational field

Sorge

2020

Class. Quantum Grav.

View full text Add to dashboard Cite

Casimir energy in presence of a weak gravitational field is discussed taking into account the issues related to energy and its conservation in a curved background. It is well-known that there are inherent difficulties in defining energy in general relativity, essentially due to its non-localizability. Using the concept of quasi-local mass and energy, it is shown that it is possible to attribute a Tolman mass to a massless scalar field confined to a Casimir cavity. Such non-local mass coincides—as expected—with the Casimir energy. The present approach offers an alternative derivation of the vacuum buoyancy force acting on a Casimir cavity, confirming the results presented by Calloni et al in a series of papers devoted to explore the possibility of experimentally weighting the Casimir vacuum (the so-called Archimedes experiment).

show abstract

“…In GR and other alternative theories of gravity where only the gravitational sector is modified, one can consider matter sources and extend the analysis resorting to the Green functions' method. Other approaches have also been discussed such as the Campbell-Morgan formalism [30], the interaction of gravitational waves with matter [31] or the cyclotron damping and Faraday rotation of gravitational waves in collisionless plasmas [32,33]. Another issue that has been explored is the inclusion of a cosmological constant term.…”

Section: Introductionmentioning

confidence: 99%

Gravitational waves in theories with a non-minimal curvature-matter coupling

2018

View full text Add to dashboard Cite

Gravitational waves in the presence of a nonminimal curvature-matter coupling are analysed, both in the Newman-Penrose and perturbation theory formalisms. Considering a cosmological constant as a source, the nonminimally coupled matter-curvature model reduces to f (R) theories. This is in good agreement with the most recent data. Furthermore, a dark energy-like fluid is briefly considered, where the propagation equation for the tensor modes differs from the previous scenario, in that the scalar mode equation has an extra term, which can be interpreted as the longitudinal mode being the result of the mixture of two fundamental excitations δ R and δρ.

show abstract

Interaction of gravitational waves with matter

Cited by 7 publications

References 16 publications

On the gravitational scattering of gravitational waves

On the gravitational scattering of gravitational waves

Quasi-local Casimir energy and vacuum buoyancy in a weak gravitational field

Gravitational waves in theories with a non-minimal curvature-matter coupling

Contact Info

Product

Resources

About