Unimodular theory of canonical quantum gravity
Einstein's theory of gravity is reformulated so that the cosmological constant becomes an integration constant of the theory, rather than a coupling'' constant. However, in the Hamiltonian form of the theory, the Hamiltonian constraint is missing, while the usual momentum constraints...
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| Veröffentlicht in: | Physical review. D, Particles and fields Particles and fields, 1989-08, Vol.40 (4), p.1048-1052 |
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| container_title | Physical review. D, Particles and fields |
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| creator | UNRUH, W. G |
| description | Einstein's theory of gravity is reformulated so that the cosmological constant becomes an integration constant of the theory, rather than a coupling'' constant. However, in the Hamiltonian form of the theory, the Hamiltonian constraint is missing, while the usual momentum constraints are still present. Replacing the Hamiltonian constraint is a secondary constraint, which introduces the cosmological constant. The quantum version has a normal Schr{umlt o}dinger'' form of time development, and the wave function does not obey the usual Wheeler-DeWitt'' equation, making the interpretation of the theory much simpler. The small value of the cosmological constant in the Universe at present becomes a genuine question of initial conditions, rather than a question of why one of the coupling constants has a particular value. The key weakness'' of this formulation is that one must introduce a nondynamic background spacetime volume element. |
| doi_str_mv | 10.1103/physrevd.40.1048 |
| format | Article |
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D, Particles and fields</jtitle><addtitle>Phys Rev D Part Fields</addtitle><date>1989-08-15</date><risdate>1989</risdate><volume>40</volume><issue>4</issue><spage>1048</spage><epage>1052</epage><pages>1048-1052</pages><issn>0556-2821</issn><eissn>1089-4918</eissn><coden>PRVDAQ</coden><abstract>Einstein's theory of gravity is reformulated so that the cosmological constant becomes an integration constant of the theory, rather than a coupling'' constant. However, in the Hamiltonian form of the theory, the Hamiltonian constraint is missing, while the usual momentum constraints are still present. Replacing the Hamiltonian constraint is a secondary constraint, which introduces the cosmological constant. The quantum version has a normal Schr{umlt o}dinger'' form of time development, and the wave function does not obey the usual Wheeler-DeWitt'' equation, making the interpretation of the theory much simpler. The small value of the cosmological constant in the Universe at present becomes a genuine question of initial conditions, rather than a question of why one of the coupling constants has a particular value. The key weakness'' of this formulation is that one must introduce a nondynamic background spacetime volume element.</abstract><cop>Ridge, NY</cop><pub>American Physical Society</pub><pmid>10011912</pmid><doi>10.1103/physrevd.40.1048</doi><tpages>5</tpages></addata></record> |
| fulltext | fulltext |
| identifier | ISSN: 0556-2821 |
| ispartof | Physical review. D, Particles and fields, 1989-08, Vol.40 (4), p.1048-1052 |
| issn | 0556-2821 1089-4918 |
| language | eng |
| recordid | cdi_osti_scitechconnect_5592192 |
| source | American Physical Society Journals |
| subjects | 640106 - Astrophysics & Cosmology- Cosmology 657003 - Theoretical & Mathematical Physics- Relativity & Gravitation CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS COSMOLOGICAL MODELS COUPLING CONSTANTS DIFFERENTIAL EQUATIONS EINSTEIN FIELD EQUATIONS ENERGY-MOMENTUM TENSOR EQUATIONS EQUATIONS OF MOTION Exact sciences and technology FIELD EQUATIONS FIELD THEORIES GAUGE INVARIANCE General relativity and gravitation HAMILTONIANS INVARIANCE PRINCIPLES MATHEMATICAL MODELS MATHEMATICAL OPERATORS PARTIAL DIFFERENTIAL EQUATIONS Physics QUANTUM FIELD THEORY QUANTUM GRAVITY QUANTUM OPERATORS RICCI TENSOR SCHROEDINGER EQUATION SPACE-TIME TENSORS UNIVERSE WAVE EQUATIONS |
| title | Unimodular theory of canonical quantum gravity |
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