Abstract

The field equations of Kaluza-Klein (KK) theory have been used in the area of cosmology. The researchers have scrutinized KK theory in the existence of cosmic string as a source in f(R) theory of gravity which is an extension of 5-dimensional KK string cosmological models. Certain features, physical and geometrical properties of the model are also investigated.

Highlights

  • The 3-dimensional space and time were generalized in 1909 by Lorentz to 4-dimensional space-time, which means the general relativity could be built clarifying gravity with pure geometry.Nowadays, the studies of cosmologies with more than 4-dimensions gain great importance

  • KK universe are employed in a way to combine interactions of measurement along with gravity

  • It was further taken into consideration and Kaluza opined that general relativity (GR) is not adapted just extend 4-dimensional space to 5-dimensional with having physical relevance to the extra-dimensional

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Summary

Introduction

The 3-dimensional space and time were generalized in 1909 by Lorentz to 4-dimensional space-time, which means the general relativity could be built clarifying gravity with pure geometry. The studies of cosmologies with more than 4-dimensions gain great importance These higher dimensional scenarios are built on various KK universe. The new theory received a criticism that it is a vacuum five-dimensional theory which is constructed in the presence of an electromagnetic field It was further taken into consideration and Kaluza opined that general relativity (GR) is not adapted just extend 4-dimensional space to 5-dimensional with having physical relevance to the extra-dimensional. The unification of electromagnetism and highlighted by Gross and Perry (1983) where they obtain Soliton solutions They made it clear that the difference of the gravitational and inertial masses is caused by the destruction of Burkeff’s theorem in KK universe, which is considered to be the principle of equivalence (PoE).

The metric and the field equation
Conclusion

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