Kavli Affiliate: Craig Hogan
| First 5 Authors: Kris Mackewicz, Craig Hogan, , ,
| Summary:
We generalize earlier solutions of gravitational shocks sourced by
distributional null stress-energy and analyze their observable effects. A
systematic method is proposed to demonstrate consistency between the
gravitational effects of a null perfect fluid, i.e. a photon gas, and a
collection of gravitational shock waves from point null particles. The
anisotropy and time dependence of observable gravitational shifts produced by
individual null shocks on a spherically arranged system of clocks relative to a
central observer are derived. Shock solutions are used to characterize the
angular and temporal spectra of gravitational fluctuations from a photon gas,
inherited from the microstructure of the individual null particles. Angular and
temporal frequency spectra and correlation functions of gravitational redshift
are computed as functions of the ratio of particle impact parameter and
transverse size to the size of the measuring sphere. These results are applied
to estimate observable large-scale correlations of gravitational fluctuations
produced by thermal states of null particles. A pure-phase component of
anisotropy is computed from differential gravitational time shifts. It is
argued that this component may provide clues to the angular and temporal
structure of measurable gravitational vacuum fluctuations.
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