Extended General Relativity: Gravitational waves from an isotropic and homogeneous collapse

Morales, Alan; Bellini, Mauricio

doi:10.1016/j.dark.2021.100895

Cited by 14 publications

(1 citation statement)

References 17 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The last terms in (2) are very important and cannot be neglected in the dynamics of the system. These terms g αβ δ R αβ = δ , describes the flux of the 4-vector δW α = δ β g βα − δ α βγ g βγ , through the 3D closed hypersurface ∂ M. An important case results when the varied Ricci tensor: δ R αβ , is related to the variation of the metric tensor [17] δ R αβ = λ s x α δg αβ .…”

Section: Extension Of General Relativity With An Extended Manifoldmentioning

confidence: 99%

Spatiotemporal jumps as particular solutions in geodesic trajectories with the Gödel metric on an extended manifold

Bellini

2022

Eur. Phys. J. C

Self Cite

View full text Add to dashboard Cite

Using the Gödel metric, we obtain some relevant solutions compatible with spatiotemporal jumps for the geodesic equations, by using an extension of General Relativity with nonzero boundary terms, which are described on an extended manifold generated by the connections $$\delta \Gamma ^{\mu }_{\alpha \beta } = b\,U^{\mu }\,g_{\alpha \beta }$$ δ Γ α β μ = b U μ g α β . These terms are given by a flow of velocities with components $$U^{\nu }$$ U ν : $$3\,b^2\,\nabla _{\nu }U^{\nu }=g^{\alpha \beta }\, \delta R_{\alpha \beta } = \lambda \left[ s\left( x^{\alpha }\right) \right] \,g^{\alpha \beta }\, \delta g_{\alpha \beta }$$ 3 b 2 ∇ ν U ν = g α β δ R α β = λ s x α g α β δ g α β in the varied Einstein–Hilbert action. The solutions are valid for an arbitrary equation of state with ordinary matter: $$\Omega =P/(c^2\,\rho ) = \frac{\left( \frac{\omega }{c}\right) ^2-\lambda (s)}{\left( \frac{\omega }{c}\right) ^{2}+\lambda (s)}$$ Ω = P / ( c 2 ρ ) = ω c 2 - λ ( s ) ω c 2 + λ ( s ) .

show abstract

Section: Extension Of General Relativity With An Extended Manifoldmentioning

confidence: 99%