Subluminal Cosmology

2018

JMP

Self Cite

First of all, we investigate whether the transformation of Lemaître inevitably leads from the static de Sitter cosmos to an expanding cosmos. A Lorentz transformation which can be assigned to the Lemaître transformation results in a frame of reference that moves relatively to the static dS system. Because of the homogeneity of space, this applies to every point in the space which does not itself undergo any change. We interpret the "expansion" of the cosmos Milne-like. It is not the space that expands, but the mesh of the Lemaître coordinate system. The velocity parameter of the associated Lorentz transformation is geometrically based and shows that the joined observer systems are moving in free fall. We also discuss the question of whether the speed of light for free-falling observers in the universe can be reached or can be exceeded, respectively. We raise the question of whether the model can be extended in such a way that the motions take place with a velocity that is lower than the one of the free fall. We believe that the method we have derived can be generalized to models with genuine expansion.

“…In an earlier paper [3] we have extended the dS cosmos to a genuine expanding model by giving up the condition const . = R , i.e., allowing an expansion of the pseudo-hyper sphere.…”

Section: With (17) and Withmentioning

confidence: 99%

Generalization of the de Sitter Cosmos

2018

JMP

Self Cite

“…These forces are directly derived from the dS ansatz. With 0 E v = one obtains the expanding subluminal cosmos [7]. Repulsive…”

Section: Discussion Of the Modelmentioning

confidence: 99%

“…It rather means that the free-falling observers do not experience forces, they recognize the space to be locally flat, in the same way as the free-falling observers do in the Schwarzschild field. According to [7] is in this…”

Section: R Burghardtmentioning

confidence: 99%

Dark Matter without Matter

2018

JMP

Self Cite

We design a cosmological model that expands at a speed less than that of free fall and which allows accelerations of the recession velocity. In addition, the underlying geometry of the model can be adjusted in such a way that attractive forces arise in the cosmos, forces whose sources are not matter. This could explain dark matter as a property of space and one could also address the question of why galactic systems are not subject to expansion. Journal of Modern Physics and the Schwarzschild model both are based on the static de Sitter metric as seed metric. In the first case, this metric is a metric on a pseudo-hyper sphere, in the second case it is a metric on a cap of a hypersphere. From both metrics repulsive forces are derivable, which can be interpreted in the dS case as the cause of an expansion. We describe a process that switches these forces from repulsive to attractive. Although the elaboration of the P-model requires a considerable amount of mathematics, the underlying physical principles of the Schwarzschild world are well-known, but little respected in the literature.We note that carrying out this procedure is only possible within the framework of the tetrad calculus. Coordinate systems play a minor role, they are only used for basic mathematical operations. In Sec. 2 we briefly outline the static de Sitter model, we explain the use of 4-bein systems, the Ricci-rotation coefficients, and the graded derivative. We discuss the representation of the Einstein field equations in tetrad form and point out that this is useful for many cosmological models and advisable for their clarity. In Sec. 3, we first discuss a static P-model in order to clarify the basic structure of such models. In Sec. 4 and Sec. 5 we develop the expanding P-model and discuss it in Sec. 6.

“…Another, rather promising attempt was a model [13] that builds on the dS universe, but drops the condition…”

Section: The Subluminal Modelmentioning

confidence: 99%

“…' , The subluminal model provides a geometric velocity, with which the Lorentz matrix can be formed. With it, all field quantities can be transformed into the non-comoving system [13]. In particular, with the aid of the transformation analogous to (4.6) one has derived the radial force…”

mentioning

confidence: 99%

Local and Global Flatness in Cosmology

2019

JMP

Self Cite

We raise the question of how the curvature parameter k is related to the curvature of the universe. We also show that, for a cosmological model that can be interpreted geometrically as a pseudo-hypersphere with a time-dependent radius, the Einstein field equations are not sufficient to fully describe the model. In addition, the differential equation system of Bianchi identities is required to describe the temporal evolution of the universe. We discuss the facts using the example of the de Sitter universe, the subluminal universe and the h R ct = model by Melia. In particular, we discuss the formal differences between the two latter models and claim that both models are identical. We also examine the possibility of introducing non-comoving coordinates.