The simplest and the most attractive cosmological model with radial time and spherical space (RTSS) is not far from the imagination of physicists , but it is wrongly excluded mainly for two false reasons which are:
1) That it contradicts ( what is thought to be ) the result of genereral relativity that the global geometry of the universe depends on its average density and not simply on the age of the universe as implied by RTSS model.
2)That it Contradicts the observational fact of the acceleration of the expansion of the universe which which can be proved by the study of the cosmological red shift..
As for the first reason it could be shown that the dependence of the global geometry of the universe is not a neccessary result of general relativity because we can make this geometry depend only on the age of the universe if we define the cosmological constant as aquantity that composed of two parts : the first part is geometrical one which is the curvature of the spherical space which depends only on the age of the universe and the second part is the material part which represents the density of matter which appears to be distributed in the large space (compared to the region of the application of the field equation) around the region of the application of the field equation ,that is to say : the backgroud density . In the case of the global application of the equation this background density is the density of the universe . This definition of the cosmological constant will solve all the major problems of modern cosmology such as the cosmological constant problem without any change in General Relativity or Quantum Mechanics and also remove all contrived concepts such as dark matter , dark energy and inflation.
The second reason is also a false one because the cosmological red shift which is thought to be the result of the acceleration can be explained simply as a result of the shape of the universe in our proposal of the radial time and spherical space as shown in detail in many of my papers .
The details of this proposal can be found in :
http://vixra.org/abs/1510.0097
http://vixra.org/abs/1509.0041
http://vixra.org/abs/1510.0011
http://vixra.org/abs/1509.0175
http://vixra.org/abs/1411.0100
For Details see: viXra:1509.0041
