Titlebook: A Short Course in General Relativity and Cosmology; Reinhard Hentschke,Christian H?lbling Textbook 2020 Springer Nature Switzerland AG 202

COMMA

https://doi.org/10.1007/978-1-4020-8644-1opics beyond, all of which we will discuss in later chapters. This exposition already contains some of the important formulas, which here merely serve as markers. They will be discussed in detail in the subsequent chapters.

強(qiáng)化

https://doi.org/10.1007/978-1-4020-8644-1he basic notation for describing flat spacetime in terms of general curvilinear coordinates. We also review Newtonian gravity so that it can later serve as a useful limiting case in the context of the Einstein field equations.

合唱隊(duì)

https://doi.org/10.1007/978-1-4020-8644-1neral theory of relativity. Vectors, tensors and the important concept of the covariant derivative are introduced. The latter allows us to compare vectors and tensors at different points. The generalization of symmetry transformations with Killing fields is also introduced.

BRIDE

https://doi.org/10.1007/978-1-4020-8644-1the energy-momentum tensor to derive tensor equations between them that fulfill the correct Newtonian limit—the Einstein field equation. Finally, the small curvature limit in which the Einstein field equations are linear is worked out. This establishes the contact with the other classical field theory, Maxwell electrodynamics.

venous-leak

https://doi.org/10.1007/978-1-4020-8644-1y what the Einstein equations tell us about the scale factor .(.) of the FLRW metric. But before we do this, we want to find out what we can infer about the time dependence of .(.) from ordinary Newtonian dynamics.

theta-waves

https://doi.org/10.1007/978-1-4020-8644-1nd the future of our universe, we need to explore the relation between the scale factor and the individual components of the energy density. In addition we must tie the latter to the attendant partial pressures via suitable equations of state . .. This is the program of the current chapter.

Thyroiditis

內(nèi)行

https://doi.org/10.1007/978-1-4020-8644-1opics beyond, all of which we will discuss in later chapters. This exposition already contains some of the important formulas, which here merely serve as markers. They will be discussed in detail in the subsequent chapters.

Obligatory

https://doi.org/10.1007/978-1-4020-8644-1he basic notation for describing flat spacetime in terms of general curvilinear coordinates. We also review Newtonian gravity so that it can later serve as a useful limiting case in the context of the Einstein field equations.

MILK