In the reversible Schrödinger-Newton equation a complex Newton coupling G exp(−iα) is proposed in place of G. The equation becomes irreversible and all initial one-body states are expected to converge to solitonic stationary states. This feature is verified numerically. For two-body solutions we point out that an effective Newtonian interaction is induced by the imaginary mean-fields as if they...

The Wheeler-DeWitt method is applied to the quantization of the 1 + 1 dimensional dilaton gravity coupled with the conformal matter fields. Exact solutions to the WD equations are found, which are classically interpreted as right(left)-moving black holes. E-mail address: [email protected] The two dimensional dilaton gravity recently attracts much attention as a sample model of the four dimensi...

The present article is devoted to a theoretical study on Love wave vibration in a pre-stressed fluid-saturated anisotropic porous viscoelastic medium embedded over an inhomogeneous isotropic half-space influenced by gravity. The expression of dispersion has been achieved with the help of mathematical tools such as variable separable method and Whittaker’s function’s expansion under certain boun...

This is a partially survey collection of material on gravity, entropy, and information with some new heuristic results related to the WDW equation.

We have shown recently that the gravity field phenomena can be described by a traceless part of the wave-type field equation. This is an essentially non-Einsteinian gravity model. It has an exact sphericallysymmetric static solution, that yields to the Yilmaz-Rosen metric. This metric is very close to the Schwarzchild metric. The wave-type field equation can not be derived from a suitable varia...

In this article we consider variable coefficient time dependent Schrödinger evolutions in R. For this we use phase space methods to construct outgoing parametrices and to prove global in time Strichartz type estimates. This is done in the context of C metrics which satisfy a weak asymptotic flatness condition at infinity.

The exact renormalization group equation for pure quantum gravity is derived for an arbitrary gauge parameter in the space-time dimension d = 4. This equation is given by a non-linear functional differential equation for the effective average action. An action functional of the effective average action is approximated by the same functional space of the Einstein-Hilbert action. From this approx...

Recently the so-called mimetic gravity approach has been used to obtain corrections to the Friedmann equation of General Relativity similar to the ones present in loop quantum cosmology. In this paper, we propose an alternative way to derive this modified Friedmann equation via the so-called non-polynomial gravity approach, which consists of adding geometric non-polynomial higher derivative ter...

The deformation equation and its integrability condition (Bianchi identity) of a non-associative deformation in operad algebra are found. Their relation to the theory of gravity is discussed.