| Summary: | 碩士 === 淡江大學 === 物理學系 === 86 === In this thesis the ideas and motivations of the general theory
of relativity is first mentioned in chapter 1. Then in chapter 2
we discuss why the tensor theory is needed, and have a simple
introduction to the definition and properties of the tensor. We
also will show the meaning of the covariant derivative.To study
the curve space we introduce the Riemann tensor in chapter 3.
And also have a brief demonstration to the properties of the
Riemann tensor. Besides the Riemann tensor, the Ricci tensor is
also we want to study. This is because we can have Ricci tensor
from the contraction of the Riemann tensor.In chapter 4 we can
obtain the basic equation of gravitational field, which is the
so-called Einstein equation, from the variation of the action of
the gravitational field by the least action principal.The tests
in chapter 5, such as the deflection of the light by the sun、
the precession of perihelion of the Mercury、the radar echo
delay and the gravitational red shift of the light spectra,
provide the evidence of the correctness of the general theory of
relativity.In the chapter 6, we applied the general theory of
relativity to the study of Cosmology. Based on the cosmological
principal, we have three simple models of the universe : closed
、open and flat model by the using of the Robertson-walker
metric.
|
|---|
