Abstract
A Hamiltonian formalism is constructed for the Lagrangian\(L = \sqrt { - g} (\Lambda - 1/\kappa ^2 R + R_{\mu \mathcal{V}} R^{_{\mu \mathcal{V}} } + bR^2 ,a \ne - 3b\). This theory is classically quantized. A nontrivial local measure is obtained for the continuum integral, differing from that of Einsteinian gravitation.
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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 12, pp. 3–9, December, 1985.
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Bukhbinder, I.L., Lyakhovich, S.L. Canonical quantization of gravitation with higher derivatives. Soviet Physics Journal 28, 951–956 (1985). https://doi.org/10.1007/BF00899081
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DOI: https://doi.org/10.1007/BF00899081