Sedeonic Field Equations for Dyons
Sign Up to like & getrecommendations! Published in 2018 at "Advances in Applied Clifford Algebras"
DOI: 10.1007/s00006-018-0886-3
Abstract: We discuss the theoretical description of dyons having simultaneously both electric and magnetic charges on the basis of space-time algebra of 16-component sedeons. We show that the generalized sedeonic equations for electromagnetic field of dyons… read more here.
Keywords: electromagnetic field; sedeonic field; field; field equations ... See more keywords
Static spherically symmetric Einstein-æther models II: Integrability and the modified Tolman–Oppenheimer–Volkoff approach
Sign Up to like & getrecommendations! Published in 2020 at "Annals of Physics"
DOI: 10.1016/j.aop.2019.168002
Abstract: We investigate the existence of analytic solutions for the field equations in the Einstein-aether theory for a static spherically symmetric spacetime and provide a detailed dynamical system analysis of the field equations. In particular, we… read more here.
Keywords: oppenheimer volkoff; static spherically; field equations; tolman oppenheimer ... See more keywords
The solution space of the Einstein’s vacuum field equations for the case of five-dimensional Bianchi Type I (Type 4A 1 )
Sign Up to like & getrecommendations! Published in 2018 at "Classical and Quantum Gravity"
DOI: 10.1088/1361-6382/aac847
Abstract: We consider the 4+1 Einstein's field equations (EFE's) in vacuum, simplified by the assumption that there is a four-dimensional sub-manifold on which an isometry group of dimension four acts simply transitive. In particular we consider… read more here.
Keywords: space; group; field equations; type ... See more keywords
Zero-point gravitational field equations
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DOI: 10.1088/1361-6382/ac0310
Abstract: We study the recently reported qmetric (or zero-point-length) expressions of the Ricci (bi)scalar R (q) (namely, expressions of the Ricci scalar in a spacetime with a limit length L 0 built in), focusing specifically on… read more here.
Keywords: field; point gravitational; zero point; field equations ... See more keywords
The Linet–Tian metrics are a restricted set of Krasiński’s solutions of Einstein’s field equations for a rotating perfect fluid
Sign Up to like & getrecommendations! Published in 2021 at "Classical and Quantum Gravity"
DOI: 10.1088/1361-6382/ac33be
Abstract: In this note we show that the Linet–Tian family of solutions of the vacuum Einstein equations with a cosmological constant are a restricted set of the solutions of the Einstein field equations for a rotating… read more here.
Keywords: einstein field; restricted set; field equations; linet tian ... See more keywords
Solutions of the Einstein field equations for a bounded and finite discontinuous source, and its generalization: Metric matching conditions and jumping effects
Sign Up to like & getrecommendations! Published in 2019 at "Physical Review D"
DOI: 10.1103/physrevd.100.064045
Abstract: We consider the metrics of the General Relativity, whose energy-momentum tensor has a bounded support where it is continuous except for a finite step across the corresponding boundary surface. As a consequence, the first derivative… read more here.
Keywords: einstein field; field equations; solutions einstein; generalization ... See more keywords
Effective field equations and scale-dependent couplings in gravity
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DOI: 10.1103/physrevd.103.104025
Abstract: A new set of field equations for a space-time dependent Newton's constant $G(x)$ and cosmological constant $\Lambda(x)$ in the presence of matter is presented. We prove that it represents the most general mathematically consistent, physically… read more here.
Keywords: field; effective field; equations scale; field equations ... See more keywords
Modified gravity: A unified approach
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DOI: 10.1103/physrevd.104.024010
Abstract: Starting from the original Einstein action, sometimes called the Gamma squared action, we propose a new setup to formulate modified theories of gravity. This can yield a theory with second order field equations similar to… read more here.
Keywords: modified gravity; field equations; approach; gravity ... See more keywords
Palatini f(R,Lm,RμνTμν) gravity and its Born-Infeld semblance
Sign Up to like & getrecommendations! Published in 2019 at "Physical Review D"
DOI: 10.1103/physrevd.99.124027
Abstract: We investigate Palatini $f(\mathcal{R},\mathcal{L}_m, \mathcal{R}_{\mu\nu}T^{\mu\nu})$ modified theories of gravity wherein the metric and affine connection are treated as independent dynamical fields and the gravitational Lagrangian is made a function of the Ricci scalar $\mathcal{R}$, the… read more here.
Keywords: mathcal mathcal; field equations; gravity; palatini ... See more keywords
Mean-field equations for neural populations with q-Gaussian heterogeneities.
Sign Up to like & getrecommendations! Published in 2022 at "Physical review. E"
DOI: 10.1103/physreve.105.044402
Abstract: Describing the collective dynamics of large neural populations using low-dimensional models for averaged variables has long been an attractive task in theoretical neuroscience. Recently developed reduction methods make it possible to derive such models directly… read more here.
Keywords: equations neural; neural populations; field equations; mean field ... See more keywords
A new development in quantum field equations of dyons
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DOI: 10.1139/cjp-2017-0996
Abstract: In this study, we describe a novel approach to quantum phenomena of the generalized electromagnetic fields of dyons with quaternionic analysis. Starting with quaternionic quantum wave equations, we have established a quantized condition for time… read more here.
Keywords: field; new development; development quantum; field equations ... See more keywords