Consensus
发表于 2025-3-25 05:01:52
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货物
发表于 2025-3-25 08:37:19
Lie Derivatives, Killing Fields and Hypersurfaces,Suppose . and . are manifolds (whose dimensions can be different) and . is a smooth map. Let . and . represent the collection of all smooth tensor fields of type (., .) on . and ., respectively. . naturally induces a series of maps as follows.
GRILL
发表于 2025-3-25 13:46:23
Differential Forms and Their Integrals,We first introduce “forms” on an .-dimensional vector space ., and then discuss “differential forms” on an .-dimensional manifold ..
euphoria
发表于 2025-3-25 16:29:43
,Solving Einstein’s Equation,Solving Einstein’s Equation is an important problem in general relativity. Many exact solutions play important roles in the study and development of general relativity. Since Einstein’s equation is a highly nonlinear partial differential equation, finding an (exact) solution in the general case is rather difficult.
易受刺激
发表于 2025-3-25 21:58:21
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obscurity
发表于 2025-3-26 02:24:24
Special Relativity,nd time are treated separately in specific coordinate systems. However, after acquiring an understanding of differential geometry in the previous chapters, one can also use a 4-dimensional “global” way to formulate special relativity, which not only makes it easier to grasp the essence of the theory
发怨言
发表于 2025-3-26 07:16:01
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certitude
发表于 2025-3-26 12:26:24
Schwarzschild Spacetimes,sed mainly on finding the solution. In view of the essentialness of the Schwarzschild solution, this chapter will further discuss several intimately related problems: Sect. . discusses the timelike and null geodesics in Schwarzschild spacetime; Sect. . introduces three experimental tests of general
相互影响
发表于 2025-3-26 15:06:44
Cosmology I,out, and drawn conclusions concerning the universe. However, it is only after the development of general relativity that cosmology became a genuine science. From the point of view of general relativity, the universe is the maximal spacetime containing everything in Nature, with its curvature on larg
变化无常
发表于 2025-3-26 19:20:33
1868-4513 rs at various levels.Uses pedagogic features including numer.This book, the first in a three-volume set, explains general relativity using the mathematical tool of differential geometry. The book consists of ten chapters, the first five of which introduce differential geometry, which is widely appli