The Lemaître-Tolman-Bondi (LTB) model represents an inhomogeneous spherically symmetric universefilledwithfreelyfallingdustlikematterwithoutpressure. First,wehaveconsideredaFinslerian anstaz of (LTB) and have found a Finslerian exact solution of vacuum field equation. We have obtained the R(t,r) and S(t,r) with considering establish a new solution of Rµν = 0. Moreover, we attempttouseFinslergeo...

In this Report we outline some basic results on generalized Finsler– Kaluza–Klein gravity and locally anisotropic strings. There are investigated exact solutions for locally anisotropic Friedmann–Robertson– Walker universes and three dimensional and string black holes with generic anisotropy. Devoted to the memory of Professor Ryszard Raczka (1931–1996)

In this paper, we investigate the cosmological dynamics in a spatially flat Friedmann–Lemaître–Robertson–Walker geometry scalar-tensor and scalar-torsion theories where nonminimally coupled scalar field is complex field. We derive equations make use of dimensionless variables order to determine stationary points their stability properties. The physical properties are discussed while find that t...

Motivated by the possibility to use Bose-Einstein condensates as quantum simulators for spacetime curvature, we study a massless relativistic scalar field in spatially curved Friedmann-Lema\^itre-Robertson-Walker universes with $d=2+1$ dimensions. In particular, investigate particle production caused time-dependent background geometry, means of spectrum fluctuations and several two-point correl...

It is shown that a minimally coupled scalar field in Brans–Dicke theory yields a non–decelerated expansion for the present universe for open, flat and closed Friedmann-Robertson-Walker models.

We use a metric of the type Friedmann-Robertson-Walker to obtain new exact solutions of Einstein equations for a scalar and massive field.The solutions have a permanent or transitory inflationary behavior.

Abstract. Electrodynamics for self-interacting scalar fields in spatially flat FriedmannRobertson-Walker space-times is studied. The corresponding one-loop field equation for the expectation value of the complex scalar field in the conformal vacuum is derived. For exponentially expanding universes, the equations for the Bogoliubov coefficients describing the coupling of the scalar field to grav...

In this paper we study the effects of noncommutative phase space deformations on the Schwarzschild black hole. This idea has been previously studied in Friedmann–Robertson–Walker (FRW) cosmology, where this “noncommutativity” provides a simple mechanism that can explain the origin of the cosmological constant. In this paper, we obtain the same relationship between the cosmological constant and ...