Citation

BibTex format

@article{Magueijo:2024:10.1103/physrevd.110.084050,
author = {Magueijo, J},
doi = {10.1103/physrevd.110.084050},
journal = {Physical Review D},
title = {Spacetime symmetry breaking on nongeodesic leaves and a new form of matter},
url = {http://dx.doi.org/10.1103/physrevd.110.084050},
volume = {110},
year = {2024}
}
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RIS format (EndNote, RefMan)

TY  - JOUR
AB  - <jats:p>We examine the permanent damage caused by the historical breakdown of full diffeomorphism invariance induced by a foliation. We focus on the case where the foliation is allowed to be nongeodesic after the interactions with the foliation switch off. Gravity and other forms of matter recover full diffeomorphism invariance only at the expense of introducing a new matterlike component, carrying the nonvanishing Hamiltonian (and momentum, as it turns out) left over from the violating past interactions. This matter form must be stress-free in the preferred frame; this is the only way a matter action can mimic the evolution of the leftover Hamiltonian (and momentum) driven by the Dirac hypersurface deformation algebra. Hence, if the preferred frame is nongeodesic, the equivalent matter component must have energy and a momentum current in this frame, but still no spatial stresses: an unusual form of “matter.” It is equivalent to a fluid with anisotropic stress in some regimes, reducing to dust in others, or even displaying completely new features in extreme situations. Its stress energy tensor is conserved. We provide two examples based on accelerated frames: Rindler space-time and the canonical Schwarzchild frame.</jats:p>          <jats:sec>            <jats:title/>            <jats:supplementary-material>              <jats:permissions>                <jats:copyright-statement>Published by the American Physical Society</jats:copyright-statement>                <jats:copyright-year>2024</jats:copyright-year>              </jats:permissions>            </jats:supplementary-material>          </jats:sec>
AU  - Magueijo,J
DO  - 10.1103/physrevd.110.084050
PY  - 2024///
SN  - 2470-0010
TI  - Spacetime symmetry breaking on nongeodesic leaves and a new form of matter
T2  - Physical Review D
UR  - http://dx.doi.org/10.1103/physrevd.110.084050
VL  - 110
ER  -
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