Cosmological tensor perturbations equations are derived for Hamiltonian cosmology based on Ashtekar's formulation of general relativity, including typical quantum gravity effects in the Hamiltonian constraint as they are expected from loop quantum gravity. This translates to corrections of the dispersion relation for gravitational waves. The main application here is the preservation of causality which is shown to be realized due to the absence of anomalies in the effective constraint algebra used.
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Penn State Univ, Inst Gravitat Phys & Geometry, Davey Lab 104, University Pk, PA 16802 USAPenn State Univ, Inst Gravitat Phys & Geometry, Davey Lab 104, University Pk, PA 16802 USA
Bojowald, Martin
Das, Rupam
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机构:Penn State Univ, Inst Gravitat Phys & Geometry, Davey Lab 104, University Pk, PA 16802 USA
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Louisiana State Univ, Dept Phys & Astron, Baton Rouge, LA 70803 USALouisiana State Univ, Dept Phys & Astron, Baton Rouge, LA 70803 USA
Agullo, Ivan
Cardoso, Vitor
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Univ Lisboa UL, Inst Super Tecn IST, Dept Fis, CENTRA, Ave Rovisco Pais 1, P-1049 Lisbon, PortugalLouisiana State Univ, Dept Phys & Astron, Baton Rouge, LA 70803 USA
Cardoso, Vitor
del Rio, Adrian
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Univ Lisboa UL, Inst Super Tecn IST, Dept Fis, CENTRA, Ave Rovisco Pais 1, P-1049 Lisbon, PortugalLouisiana State Univ, Dept Phys & Astron, Baton Rouge, LA 70803 USA