
arXiv: 2207.01647
handle: 20.500.12907/53942
We investigate the (conformally coupled) scalar field on a general Carrollian spacetime in arbitrary dimension. The analysis discloses electric and magnetic dynamics. For both, we provide the energy and the momenta of the field, accompanied by their conservation equations. We discuss the conservation and non-conservation properties resulting from the existence of conformal isometries and the associated charges. We illustrate those results for a scalar field propagating on the null boundary of four-dimensional Ricci-flat Robinson--Trautman spacetimes.
V1:1+19 pages, LaTex ; V2: PRD version
High Energy Physics - Theory, Nuclear and High Energy Physics, dimension: 4, [PHYS.HTHE]Physics [physics]/High Energy Physics - Theory [hep-th], Physique, Physics, Physique, chimie, mathématiques & sciences de la terre, 500, FOS: Physical sciences, General Relativity and Quantum Cosmology (gr-qc), 530, General Relativity and Quantum Cosmology, field theory: scalar, conformal, space-time, Physical, chemical, mathematical & earth Sciences, High Energy Physics - Theory (hep-th), isometry, conservation law, [PHYS.GRQC]Physics [physics]/General Relativity and Quantum Cosmology [gr-qc]
High Energy Physics - Theory, Nuclear and High Energy Physics, dimension: 4, [PHYS.HTHE]Physics [physics]/High Energy Physics - Theory [hep-th], Physique, Physics, Physique, chimie, mathématiques & sciences de la terre, 500, FOS: Physical sciences, General Relativity and Quantum Cosmology (gr-qc), 530, General Relativity and Quantum Cosmology, field theory: scalar, conformal, space-time, Physical, chemical, mathematical & earth Sciences, High Energy Physics - Theory (hep-th), isometry, conservation law, [PHYS.GRQC]Physics [physics]/General Relativity and Quantum Cosmology [gr-qc]
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