Modified teleparallel gravity with higher-derivative torsion terms

G Otalora, EN Saridakis - Physical Review D, 2016 - APS
We construct F (T,(∇ T) 2,□ T) gravitational modifications, which are novel classes of
modified theories arising from higher-derivative torsional terms in the action and are different …

Regularization of electromagnetic field for self-force problem in de Sitter spacetime

Y Yaremko, A Duviryak - Classical and Quantum Gravity, 2023 - iopscience.iop.org
The paper is concerned with the motion of a point electric charge in de Sitter spacetime. A
point particle of mass m and charge q moving on a geodesic curve produces …

From Fock's transformation to de Sitter space

T Foughali, A Bouda - Canadian Journal of Physics, 2015 - cdnsciencepub.com
As with Deformed Special Relativity, we showed recently that the Fock coordinate
transformation can be derived from a new deformed Poisson brackets. This approach …

Particle-antiparticle duality from an extra timelike dimension

MRA Arcodía, M Bellini - The European Physical Journal C, 2019 - Springer
It is a well known fact that the usual complex structure on the real Clifford Algebra (CA) of
Minkowski spacetime can be obtained by adding an extra time-like dimension, instead of the …

Double-extended Kerr–Schild form for 5D electrovacuum solutions

MRA Arcodía, R Ferraro - General Relativity and Gravitation, 2022 - Springer
Abstract Five-dimensional Einstein–Maxwell–Chern–Simons equations are investigated in
the framework of an extended Kerr–Schild strategy to search for black holes solutions. The …

Neutrino oscillations in the de Sitter and the anti-de Sitter space-time

J Ren, YY Pan - International Journal of Theoretical Physics, 2011 - Springer
General expressions of the neutrino oscillation phase in the generally static space-time with
spherical symmetry are given. The effect of the gravitational field on the oscillation length is …

Action-at-a-distance and radiation reaction of point-like particles in de sitter space

A Duviryak, Y Yaremko - Ukrainian journal of physics, 2019 - ujp.bitp.kiev.ua
The two-particle system with the time-asymmetric retarded-advanced electromagnetic
interaction known as the Staruszkiewicz–Rudd–Hill model is considered in the de Sitter …

Electrodynamics in flat spacetime of six dimensions

Y Yaremko - Journal of Mathematical Physics, 2021 - pubs.aip.org
This paper considers the dynamics of a classical charge in flat spacetime of six dimensions.
The mass-shell relation of a free charge allows nonlinear oscillations. Having analyzed the …

Solvable two-particle systems with time-asymmetric interactions in de Sitter space

A Duviryak - arXiv preprint arXiv:2007.03524, 2020 - arxiv.org
The two-particle models in de Sitter space-time with time-asymmetric retarded-advanced
interactions are constructed. Particular cases of the field-type electromagnetic and scalar …

Complexifying the spacetime algebra by means of an extra timelike dimension: Pin, Spin and algebraic spinors

MRA Arcodía - Advances in Applied Clifford Algebras, 2021 - Springer
Because of the isomorphism C ℓ _ 1, 3 (C) ≅ C ℓ _ 2, 3 (R) C ℓ 1, 3 (C)≅ C ℓ 2, 3 (R), it is
possible to complexify the spacetime Clifford algebra C ℓ _ 1, 3 (R) C ℓ 1, 3 (R) by adding …