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1
Lectures on General Relativity
The Schwarzschild Sphere. The (Event) Horizon. Kruskal Coordinates In the case
of the Sun the gravitational field is described by the Schwarzschild metric (21.14)
only for distances r>rs, rs being the radius of the Sun, rs%7x 1010 cm.
2.7 Two Types of T-Regions Now we will discuss the principal difference
between the spacetime inside and outside the Schwarzschild sphere. The
properties discussed above of reference frames within the Schwarzschild sphere
in the ...
S.D. Kawaler, Georges Meynet, Daniel Schaerer, 1997
Outside the Schwarzschild sphere (R-region), the lines r = const. are inside the
light cone (timelike), and one of the radial rays goes to the center (toward smaller
1) while the other goes to infinity (toward larger r). In the T-domain the lines r ...
I︠A︡kov Borisovich Zelʹdovich, I. D. Novikov, Kip S. Thorne, 1971
4
Black Hole Physics: Basic Concepts and New Developments
The properties, discussed above, of reference frames within the Schwarzschild
sphere in the T-region are quite peculiar. Indeed, we notice that all these
coordinate systems must contract along the 6 and (j> directions, and the
coefficient #22 ...
V. Frolov, Igorʹ Dmitrievich Novikov, 1998
5
The Classical Theory of Fields
particles moving inside the Schwarzschild sphere. The metric (102.3) is still
applicable inside the Schwarzschild sphere, but this system too is not complete in
a certain sense. Consider, in this system, a particle carrying out a radial motion in
...
6
The Curious History of Relativity: How Einstein's Theory of ...
but also because all the intrinsic magnitudes that relativists could imagine are,
from a mathematical point of view, regular on Schwarzschild's sphere but
singular at the origin. Thus, there is nothing singular on Schwarzschild's sphere,
and so ...
7
An Introduction to Tensor Calculus: Relativity and Cosmology
A photon belonging to the first family crosses the Schwarzschild sphere and then
falls into O. Inside this sphere, the photons can be separated into two classes: (i)
those for which u is constant along a world-line -these photons could have their ...
8
Encyclopedia of Nonlinear Science
Oppenheimer et al. further noted that if one considers stellar collapse from the
inside, a stationary observer sees the stellar surface moving inward to the
Schwarzschild sphere and finally sees the surface freeze as it nears the
Schwarzschild ...
9
Black Holes and the Universe
Hence, no gravitational pull is exerted on the surface of a freely contracting body
(both within and without the Schwarzschild sphere). The matter forced to fall by
gravitation cannot stop at the Schwarzschild sphere (otherwise it would be
subject ...
Hence it is necessary to investigate in more detail what is going on in the vicinity
of the Schwarzschild sphere r = RS. We shall do this in Sect. 4.7. It will turn out
that the spacetime geometry is not singular there. Merely the Schwarzschild ...
