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Grant: Discovery Grants Program - Individual

St. Francis Xavier University

$13,743.00

Cosmological and gravitational models based on averaged theories of gravity

FY 2009-10

Summary
The most common assumption in the study of modern cosmology is that the gravitational field is described by Einstein's Theory of General Relativity. Cosmological models based on this assumption have been very successful in explaining a wide range of observational phenomena. Despite the plethora of strong observational evidence supporting General Relativity, there continues to be significant problems with the widely accepted Lambda Cold Dark Matter model of the universe. In this model, both "Dark Matter" and "Dark Energy" are primary ingredients. They are added to the model to make it realizable with current observation and do not come out of the model naturally as a prediction. Furthermore, there are fundamental issues regarding the isotropy and spatial homogeneity assumptions. The Universe is not homogeneous on all scales, we observe structures, and, therefore, the assumption of homogeneity and isotropy on the largest of scales needs to be questioned. The question then arises, "Is there is a more natural way to explain the effects of Dark Matter and Dark Energy?" A new theory of gravity based on General Relativity, called Macroscopic Gravity, smooths inhomogeneities that may be present in any gravitational field and is, therefore, appropriate for the analysis of large-scale gravitational systems such as the Universe. Given that there are fundamental problems within cosmological models based on General Relativity, one ought to investigate the appropriateness of using Macroscopic Gravity in those arenas in which classical General Relativity fails in some sense. We will determine the corresponding system of field equations arising from Macroscopic gravity and will seek solutions to these equations. Where appropriate, the stability of these solutions within a wider class of models will be investigated. The resulting investigations may yield cosmological models that provide alternative explanations to explain the effects of Dark Matter and Dark Energy.
Program
Discovery Grants Program - Individual
Location
Nova Scotia, Canada
Recipient Type
Academia
Type
Grant
Source
NSERC's Awards Data

As published

Application id
203796-2008
Name nom
VanDenHoogen, Robert
Department département
Mathematics, Statistics and Computing Sciences
Organization id
83
Institution établissement
St. Francis Xavier University
Province en
Nova Scotia
Province fr
Nouvelle-Écosse
Country en
CANADA
Country fr
CANADA
Fiscal year exercice financier
2009
Competition year année de concours
2008
Award amount
13743
Program id
RGPIN
Program nane en
Discovery Grants Program - Individual
Program name fr
Programme de subventions à la découverte - individuelles
Group en
Discovery grants programs
Group fr
Programmes de subventions à la découverte
Committee code
17
Committee name en
Space & Astronomy
Committee name fr
Rech. spatiale et astronomie
Area of application code
1202
Area of application group en
Advancement of knowledge
Area of application group fr
Avancement des connaissances
Area of application en
Physical sciences
Area of application fr
Sciences physiques
Research subject code
3204
Research subject group en
Astronomy and astrophysics
Research subject group fr
Astronomie et astrophysique
Research subject en
Extra galactic and cosmology
Research subject fr
Extra-galactique et cosmologie
Partie
2
Nb partie
3
Application title
Cosmological and gravitational models based on averaged theories of gravity
Keyword
NA
Application summary
The most common assumption in the study of modern cosmology is that the gravitational field is described by Einstein's Theory of General Relativity. Cosmological models based on this assumption have been very successful in explaining a wide range of observational phenomena. Despite the plethora of strong observational evidence supporting General Relativity, there continues to be significant problems with the widely accepted Lambda Cold Dark Matter model of the universe. In this model, both "Dark Matter" and "Dark Energy" are primary ingredients. They are added to the model to make it realizable with current observation and do not come out of the model naturally as a prediction. Furthermore, there are fundamental issues regarding the isotropy and spatial homogeneity assumptions. The Universe is not homogeneous on all scales, we observe structures, and, therefore, the assumption of homogeneity and isotropy on the largest of scales needs to be questioned. The question then arises, "Is there is a more natural way to explain the effects of Dark Matter and Dark Energy?" A new theory of gravity based on General Relativity, called Macroscopic Gravity, smooths inhomogeneities that may be present in any gravitational field and is, therefore, appropriate for the analysis of large-scale gravitational systems such as the Universe. Given that there are fundamental problems within cosmological models based on General Relativity, one ought to investigate the appropriateness of using Macroscopic Gravity in those arenas in which classical General Relativity fails in some sense. We will determine the corresponding system of field equations arising from Macroscopic gravity and will seek solutions to these equations. Where appropriate, the stability of these solutions within a wider class of models will be investigated. The resulting investigations may yield cosmological models that provide alternative explanations to explain the effects of Dark Matter and Dark Energy.