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6 papers · 1 filter
Four dimensional gravity as an almost Poisson system
Eyo E. Ita
In this paper we examine the phase space structure of a noncanonical formulation of 4-dimensional gravity referred to as the Instanton representation of Plebanski gravity (IRPG). T…
Exact solutions of the Wheeler-DeWitt equation and the Yamabe construction
Eyo Ita, Chopin Soo
Exact solutions of the Wheeler-DeWitt equation of the full theory of four dimensional gravity of Lorentzian signature are obtained. They are characterized by Schrödinger wavefuncti…
Quantum singularities in conformally static spacetimes
Deborah A. Konkowski, Thomas M. Helliwell
After a brief review of the standard definition and analysis of classical singularities in general relativistic spacetimes, and of quantum singularities in static spacetimes with t…
Affine group representation formalism for four dimensional, Lorentzian, quantum gravity
Chou Ching-Yi, Eyo Ita, Chopin Soo
Within the context of the Ashtekar variables, the Hamiltonian constraint of four-dimensional pure General Relativity with cosmological constant, , is reexpressed as an affine al…
Quantum healing of classical singularities in power-law spacetimes
T. M. Helliwell, D. A. Konkowski
We study a broad class of spacetimes whose metric coefficients reduce to powers of a radius r in the limit of small r. Among these four-parameter "power-law" metrics we identify th…
Classical and Quantum Singularities of Levi-Civita Spacetimes with and without a Positive Cosmological Constant
D. A. Konkowski, C. Reese, T. M. Helliwell +1
Levi-Civita spacetimes have classical naked singularities. They also have quantum singularities. Quantum singularities in general relativistic spacetimes are determined by the beha…