In response to repeated requests this classic book on space-time structure by Professor Erwin Schrödinger is now available in the Cambridge Science Classics series. First published in 1950, and reprinted in 1954 and 1960, this lucid and profound exposition of Einstein's 1915 theory of gravitation still provides valuable reading for students and research workers in the field.
THE UNCONNECTED MANIFOLD
AFFINELY CONNECTED MANIFOLD
METRICALLY CONNECTED MANIFOLD
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afﬁne affine connexion afﬁnity aﬁinity aﬂinity antisymmetric tensor arbitrary array called Chapter coefficients computation conservation laws constant continuum convention coordinates course covariant vector curve deﬁne deﬁnite determinant differential divergence Einstein-tensor Einstein’s elementary entity envisage example expression fact ﬁeld equations ﬁnd ﬁrst ﬁT ﬁx ﬁxed ﬂux four four-dimensional frame fulﬁlled functions fundamental tensor geodesic geometrical given gravitational ﬁeld Hamiltonian derivatives Hence hold identities independent components indices inertial inﬁnitesimal integrand invariant derivative klmn linear aggregates linear transformation Lorentz-transformation matter meaning metric metrical tensor momentum neighbouring point non-symmetric notation notion obtain ordinary parallel-transfer particle point-events pseudotensor quantities refer regard respect restricted scalar density second rank semicolon simple skew tensor space-time Special Relativity subscripts suﬂicient symmetric affinity symmetrical tensor tensor density theorem theory Theory of Relativity tion transformation formula vanish variational principle vector-ﬁeld velocity world-point zero zero tensor