Radiation Effects on Geodesics in de Sitter Space: A Classical Approach

Fathi, Mohsen; Ahari, Mostafa Tanhayi; Tanhayi, Mohammad Reza; Tavakoli, F.

doi:10.1007/s10773-011-1071-9

Cited by 3 publications

(4 citation statements)

References 18 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The next problem which was less studied so far [12,13] is the electromagnetic field of a massive charged particle freely falling on the expanding portion of the de Sitter manifold. A particle of mass m carrying the electric charge q produces a Coulomb field in its rest frame O .…”

Section: The Field Of a Freely Falling Electric Chargementioning

confidence: 99%

Rest frames and relativistic effects on de Sitter spacetimes

Cotăescu

2017

Eur. Phys. J. C

View full text Add to dashboard Cite

It is shown that the Nachtmann boosting method of introducing coordinates on de Sitter manifolds can be completed with suitable gauge transformations able to keep under control the transformation under isometries of the conserved quantities. With this method, the rest local charts (or natural frames) are defined pointing out the role of the conserved quantities in investigating the relative geodesic motion. The advantages of this approach can be seen from the applications presented here. For the first time, the simple kinematic effects, the electromagnetic field of a free falling charge and the binary fission are solved in terms of conserved quantities on the expanding portion of the de Sitter spacetime.

show abstract

Section: The Field Of a Freely Falling Electric Chargementioning

confidence: 99%

Rest frames and relativistic effects on de Sitter spacetimes

Cotăescu

2017

Eur. Phys. J. C

View full text Add to dashboard Cite

show abstract

“…The next problem which was less studied so far [12,13] is the electromagnetic field of a massive charged particle freely falling on the expanding portion of the de Siter manifold. A particle of mass m carying the electric charge q produces a Coulomb field in its rest frame O ′ .…”

Section: The Field Of a Freely Falling Electric Chargementioning

confidence: 99%

Rest frames and relativistic effects on de Sitter spacetimes

Cotaescu

2017

Preprint

View full text Add to dashboard Cite

It is shown that the Nachtmann boosting method of introducing coordinates on de Siter manifolds can be completed with suitable gauge transformations able to keep under control the transformation under isometries of the conserved quantities. With this method, the rest local charts (or natural frames) are defined pointing out the role of the conserved quantities in investigating the relative geodesic motion. The advantages of this approach can be seen from the applications presented here. For the first time, the simple kinematic effects, the electromagnetic field of a free falling charge and the binary fission are solved in terms of conserved quantities on the expanding portion of the de Sitter spacetime.

show abstract

“…We can rewrite (21) as F total ≡ ma for which we consider F re = 2 3 q 2 c 3 v . For the radiation reaction recoiling force, one can write [1]:…”

Section: Radiation Reactionmentioning

confidence: 99%

“…In this work, connected to the derivations in [1], we use a Lagrangian formalism, for a massive charged particle, to derive the relations between the coordinate time and the affine parameter of the trajectory. This affine parameter, will be considered as the proper time.…”

Section: Introductionmentioning

confidence: 99%