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@article{49406, author = {Cremaschini, Claudio and Tessarotto, Massimo}, article_number = {4}, doi = {http://dx.doi.org/10.3390/sym12040633}, keywords = {general relativity; variational principles; hamilton equations; cosmological constant; quantum gravity}, language = {eng}, issn = {2073-8994}, journal = {Symmetry}, title = {Classical Variational Theory of the Cosmological Constant and Its Consistency with Quantum Prescription}, url = {https://www.mdpi.com/2073-8994/12/4/633}, volume = {12}, year = {2020} }
TY - JOUR ID - 49406 AU - Cremaschini, Claudio - Tessarotto, Massimo PY - 2020 TI - Classical Variational Theory of the Cosmological Constant and Its Consistency with Quantum Prescription JF - Symmetry VL - 12 IS - 4 SP - "633-1"-"633-16" EP - "633-1"-"633-16" SN - 20738994 KW - general relativity KW - variational principles KW - hamilton equations KW - cosmological constant KW - quantum gravity UR - https://www.mdpi.com/2073-8994/12/4/633 N2 - The manifestly-covariant Hamiltonian structure of classical General Relativity is shown to be associated with a path-integral synchronous Hamilton variational principle for the Einstein field equations. A realization of the same variational principle in both unconstrained and constrained forms is provided. As a consequence, the cosmological constant is found to be identified with a Lagrange multiplier associated with the normalization constraint for the extremal metric tensor. In particular, it is proved that the same Lagrange multiplier identifies a 4-scalar gauge function generally dependent on an invariant proper-time parameter s. Such a result is shown to be consistent with the prediction of the cosmological constant based on the theory of manifestly-covariant quantum gravity. ER -
CREMASCHINI, Claudio and Massimo TESSAROTTO. Classical Variational Theory of the Cosmological Constant and Its Consistency with Quantum Prescription. \textit{Symmetry}. 2020, vol.~12, No~4, p.~''633-1''-''633-16'', 16 pp. ISSN~2073-8994. Available from: https://dx.doi.org/10.3390/sym12040633.
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