An Exact Model of a Gravitational Wave in the Bianchi III Universe Based on Shapovalov II Wave Spacetime and the Quadratic Theory of Gravity
К. Е. Осетрин, I. V. Kirnos, Evgeny Osetrin
Abstract
Exact models of primordial gravitational waves in the Bianchi type-III universe were constructed on the basis of the quadratic theory of gravity with a scalar field and pure radiation in Shapovalov wave spacetimes of type II (subtype 2). Exact solutions of the field equations and scalar equation were obtained. The characteristics of pure radiation were determined. An explicit form of the scalar field functions included in the Lagrangian of the considered quadratic theory of gravity was found. The trajectories of the propagation of light rays in the considered gravitational wave models were obtained.
Topics & Concepts
PhysicsScalar fieldGravitational waveMathematical physicsSpacetimeGravitationClassical mechanicsQuadratic equationScalar (mathematics)Gravitational fieldUniversef(R) gravityQuantum gravityQuantum mechanicsMathematicsGeometryQuantumCosmology and Gravitation TheoriesRelativity and Gravitational TheoryPulsars and Gravitational Waves Research