Einstein-Proca model: spherically symmetric solutions

Obukhov, Yuri N.; Vlachynsky, E. J.

doi:10.1002/(sici)1521-3889(199909)8:6<497::aid-andp497>3.0.co;2-5

Cited by 18 publications

(31 citation statements)

References 25 publications

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“…[10]- [12]. The authors of the three articles essentially agree in their conclusions, and there is no need to repeat the analysis here.…”

Section: Discussion and Solutions Of The Field Equationsmentioning

confidence: 57%

Second Order Formalism in Poincaré Gauge Theory

Leclerc

2007

Int. J. Mod. Phys. D

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Changing the set of independent variables of Poincaré gauge theory and considering, in a manner similar to the second order formalism of general relativity, the Riemannian part of the Lorentz connection as function of the tetrad field, we construct theories that do not contain second or higher order derivatives in the field variables, possess a full general relativity limit in the absence of spinning matter fields, and allow for propagating torsion fields in the general case, the spin density playing the role of the source current in a Yang-Mills type equation for the torsion. The equivalence of the second order and conventional first order formalism is established and the corresponding Noether identities are discussed. Finally, a concrete Lagrangian is constructed and by means of a Yasskin type ansatz, the field equations are reduced to a conventional Einstein-Proca system. Neglecting higher order terms in the spin tensor, approximate solutions describing the exterior of a spin polarized neutron star are presented and the possibility of the experimental detection of the torsion fields is briefly discussed.

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“…[10]- [12]. The authors of the three articles essentially agree in their conclusions, and there is no need to repeat the analysis here.…”

Section: Discussion and Solutions Of The Field Equationsmentioning

confidence: 57%

Second Order Formalism in Poincaré Gauge Theory

Leclerc

2007

Int. J. Mod. Phys. D

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“…and * R is the modified curvature scalar, which is given as follows * R = R − 6k µ ;µ + 6k µ k µ (11) with R being the scalar curvature. The original Weyl's action contains the term ( * R) 2 instead of the term * Rφ 2 .…”

Section: The Modelmentioning

confidence: 99%

“…Equation (34) is a generalized Proca equation for a massive vector meson field [11]. In fact in the cosmological frame the vector field k µ behaves like a massive vector meson field with the mass…”

Section: Breakdown Of Conformal Invariancementioning

confidence: 99%

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Massive mesons in Weyl–Dirac theory

Mirabotalebi¹,

Ahmadi

Salehi

2007

Gen Relativ Gravit

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In order to study the mass generation of the vector fields in the framework of a conformal invariant gravitational model, the Weyl-Dirac theory is considered. The mass of the Weyl's meson fields plays a principal role in this theory, it connects basically the conformal and gauge symmetries. We estimate this mass by using the large-scale characteristics of the observed universe. To do this we firstly specify a preferred conformal frame as a cosmological frame, then in this frame, we introduce an exact possible solution of the theory. We also study the dynamical effect of the massive vector meson fields on the trajectories of an elementary particle. We show that a local change of the cosmological frame leads to a Hamilton-Jacobi equation describing a particle with an adjustable mass. The dynamical effect of the massive vector meson field presents itself in the form of a correction term for the mass of the particle.

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“…Obviously, these parameters depend only on a 0 , a 2 , b 3 , b 4 , b 5 , c 3 , c 4 , and z 4 . With (5) and (6) we can express the energy-momentum source of torsion and nonmetricity in the effective Einstein equation in terms of φ [6] (7.3, 7.5). This energy-momentum is exactly the energy-momentum of the Proca 1-form φ.…”

Section: Introductionmentioning

confidence: 99%