Solutions for gravity coupled to massless gauge fields

Yasskin, Philip B.

doi:10.1103/physrevd.12.2212

Cited by 128 publications

(158 citation statements)

References 20 publications

Supporting

Mentioning

156

Contrasting

Unclassified

Order By: Relevance

“…This feature is opposite to the one predicted by the standard BH uniqueness theorems related to the EM equations, whose solutions can be classified solely with the values of the mass, (electric and/or magnetic) charge and angular momentum evaluated at infinity. In any case, the EYM model also supports the Reissner-Nordström BH as an embedded abelian solution with global electric and/or magnetic charge [6]. It is also interesting to mention that there are a larger variety of solutions associated with different generalizations of the EYM equations extended with dilaton fields, higher curvature corrections, Higgs fields, merons or cosmological constants (see [7,8] and the references therein).…”

Section: Introductionmentioning

confidence: 99%

Einstein–Yang–Mills–Lorentz black holes

Cembranos

Valcárcel

2017

Eur. Phys. J. C

View full text Add to dashboard Cite

Different black hole solutions of the coupled Einstein-Yang-Mills equations have been well known for a long time. They have attracted much attention from mathematicians and physicists since their discovery. In this work, we analyze black holes associated with the gauge Lorentz group. In particular, we study solutions which identify the gauge connection with the spin connection. This ansatz allows one to find exact solutions to the complete system of equations. By using this procedure, we show the equivalence between the Yang-Mills-Lorentz model in curved space-time and a particular set of extended gravitational theories.

show abstract

Section: Introductionmentioning

confidence: 99%

Einstein–Yang–Mills–Lorentz black holes

Cembranos

Valcárcel

2017

Eur. Phys. J. C

View full text Add to dashboard Cite

show abstract

“…This spin density also coincides with that describing the generalized Weyssenhoff fluid in Riemann-Cartan spacetimes [7]. Then, following Yasskin [8], we look for solutions that have essentially the same structure as the current density, but in view of our rather special Lagrangian, we make the ansatz not for the Lorentz gauge potential Γ ab m , but for the contortion K ab m , i.e., we set…”

Section: Yasskin Type Reductionmentioning

confidence: 99%

“…In Ref. [8], with a similar ansatz, the Einstein-Yang-Mills field equations were reduced essentially to an Einstein-Maxwell system of equations, under the assumption that the gauge charges (in our case, σ ab ) are constant. In order to preserve Lorentz invariance, one cannot require σ ab to be constant, but instead has to use the constraint…”

Section: Yasskin Type Reductionmentioning

confidence: 99%

Second Order Formalism in Poincaré Gauge Theory

Leclerc

2007

Int. J. Mod. Phys. D

View full text Add to dashboard Cite

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.

show abstract

“…For the YM field we employ the magnetic Wu-Yang ansatz [3,5,6] where the potential 1-forms are expressed by…”

Section: Action Field Equations and Our Ansaetze (Rn Type)mentioning

confidence: 99%

Black hole solutions in Einstein–Maxwell–Yang–Mills–Gauss–Bonnet theory

Mazharimousavi

Halilsoy

2008

J. Cosmol. Astropart. Phys.

View full text Add to dashboard Cite

We consider Maxwell and Yang-Mills (YM) fields together, interacting through gravity both in Einstein and Gauss-Bonnet (GB) theories. For this purpose we choose two different sets of Maxwell and metric ansaetze. In our first ansatz, asymptotically for r → 0 (and N > 4) the Maxwell field dominates over the YM field. In the other asymptotic region, r → ∞, however, the YM field becomes dominates. For N = 3 and N = 4, where the GB term is absent, we recover the well-known Bañados-Teitelboim-Zanelli (BTZ) and Reissner-Nordström (RN) metrics, respectively. The second ansatz corresponds to the case of constant radius function for S N −2 part in the metric. This leads to the maximally symmetrical, everywhere regular Bertotti-Robinson (BR) type solutions to represent our cosmos both at large and small.

show abstract

Solutions for gravity coupled to massless gauge fields

Cited by 128 publications

References 20 publications

Einstein–Yang–Mills–Lorentz black holes

Einstein–Yang–Mills–Lorentz black holes

Second Order Formalism in Poincaré Gauge Theory

Black hole solutions in Einstein–Maxwell–Yang–Mills–Gauss–Bonnet theory

Contact Info

Product

Resources

About