Secondary gravitational waves against a strong gravitational wave in the Bianchi VI universe

Abstract

A proper-time method for constructing models of dynamic gravitational-wave fields is presented. Using the proper-time method, analytical (not numerical) models of secondary gravitational waves are constructed as perturbative solutions of linearized field equations against the background of the exact wave solution of Einstein's equations for the vacuum in the Bianchi VI universe in a privileged wave coordinate system. Relations for the proper time of test particles against the background of a strong gravitational wave are used. The analytical form of the metric components for secondary gravitational waves is found from compatibility conditions for the field equations. From the field equations, an explicit form of ordinary differential equations and their solutions is obtained for functions included in small corrections to the metric for secondary gravitational waves. It is shown that there exists a continuum of gravitational wave parameters for which the perturbative solutions are stable.

30 pages

References in corpus (31)

• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• Gravitational Waves and Gamma-rays from a Binary Neutron Star Merger: GW170817 and GRB 170817A
• Extended Theories of Gravity
• Introduction to Modified Gravity and Gravitational Alternative for Dark Energy
• Modified Gravity Theories on a Nutshell: Inflation, Bounce and Late-time Evolution
• Nine-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Final Maps and Results
• Cosmological Perturbation Theory in the Synchronous vs. Conformal Newtonian Gauge
• Cosmological Perturbation Theory in the Synchronous and Conformal Newtonian Gauges
• Searching for the nano-Hertz stochastic gravitational wave background with the Chinese Pulsar Timing Array Data Release I
• Gravitational Wave Experiments and Early Universe Cosmology
• Signature of Gravity Waves in Polarization of the Microwave Background
• Cosmological Backgrounds of Gravitational Waves
• The cosmological gravitational wave background from primordial density perturbations
• Gravitational wave background as a probe of the primordial black hole abundance
• Stochastic Gravitational Wave Backgrounds
• A Test of the Cosmological Principle with Quasars
• Gravitational-Wave Constraints on the Abundance of Primordial Black Holes
• The Cosmic Radio Dipole: Estimators and Frequency Dependence
• Stochastic gravitational wave background: methods and Implications
• Shapovalov wave-like spacetimes
• Maxwell's equations in homogeneous spaces for admissible electromagnetic fields
• The Cosmic Dipole in the Quaia Sample of Quasars: A Bayesian Analysis
• Maxwell equations in homogeneous spaces with solvable groups of motions
• Hamilton-Jacobi and Klein-Gordon-Fock equations for a charged test particle in space-time with simply transitive four-parameter groups of motions
• An exact model of a gravitational wave in the Bianchi III universe based on Shapovalov II wave spacetime and the quadratic theory of gravity
• Deviation of geodesics and particle trajectories in a gravitational wave of the Bianchi type VI universe
• Gravitational Waves of Type III Shapovalov Spacetimes: Particle Trajectories, Geodesic Deviation and Tidal Accelerations
• Classification of the non-null electrovacuum solution of Einstein-Maxwell equations with three-parameter abelian group of motions
• Exact model of gravitational wave and pure radiation
• Classification of Petrov Homogeneous Spaces
• Inferred Hubble Parameter from Gravitational Waves in a Perturbative Bianchi I Background