Cosmological Vorticity Perturbations, Gravitomagnetism, and Mach's Principle

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dc.creatorSchmid, Christoph
dc.date2002-01-30
dc.date.accessioned2026-07-07T03:26:37Z
dc.date.available2026-07-07T03:26:37Z
dc.descriptionThe axes of gyroscopes experimentally define non-rotating frames. But what physical cause governs the time-evolution of gyroscope axes? Starting from an unperturbed, spatially flat FRW cosmology, we consider cosmological vorticity perturbations (i.e. vector perturbations, rotational perturbations) at the linear level. We ask: Will cosmological rotational perturbations drag the axis of a gyroscope relative to the directions (geodesics) to galaxies beyond the rotational perturbation? We cast the laws of Gravitomagnetism into a form showing clearly the close correspondence with the laws of ordinary magnetism. Our results are: 1) The dragging of a gyroscope axis by rotational perturbations beyond the $\dot{H}$ radius (H = Hubble constant) is exponentially suppressed. 2) If the perturbation is a homogeneous rotation inside a radius significantly larger than the $\dot{H}$ radius, then the dragging of the gyroscope axis by the rotational perturbation is exact for any equation of state for cosmological matter. 3) The time-evolution of a gyroscope axis exactly follows a specific average of the matter inside the $\dot{H}$ radius for any equation of state. In this precise sense Mach's Principle follows from cosmology with Einstein Gravity.
dc.description10 pages, to appear in Proc. COSMO-01, Rovaniemi, Finland, Aug 29 - Sep 4, 2001
dc.identifierhttps://arxiv.org/abs/gr-qc/0201095
dc.identifierhttp://arxiv.org/abs/gr-qc/0201095
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/34117
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectAstrophysics
dc.titleCosmological Vorticity Perturbations, Gravitomagnetism, and Mach's Principle
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