A class of energetically rigid gravitational fields

Details A class of energetically rigid gravitational fields A class of energetically rigid gravitational fields

Nov 1974

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1974znata..29.1527g&link_type=abstract

Zeitschrift für Naturforschung, Teil a, vol. 29a, Nov. 1974, p. 1527-1530.

Mathematics

Logic

2

Einstein Equations, Gravitation Theory, Relativity, Riemann Manifold, Space-Time Functions, Astronomical Models, Cosmology, Curves (Geometry), Gauss Equation, Gravitational Fields, Ideal Fluids, Lie Groups, Metric Space

Scientific paper

In Einstein's theory, the physics of gravitational fields is reflected by the geometry of the curved space-time manifold. One of the methods for a study of the geometrical properties of space-time consists in regarding it, locally, as embedded in a higher-dimensional flat space. In this paper, metrics admitting a 3-parameter group of motion are considered which form a generalization of spherically symmetric gravitational fields. A subclass of such metrics can be embedded into a five-dimensional flat space. It is shown that the second fundamental form governing the embedding can be expressed entirely by the energy-momentum tensor of matter and the cosmological constant. Such gravitational fields are called energetically rigid. As an application gravitating perfect fluids are discussed.

Affiliated with

Also associated with

No associations

Rating

A class of energetically rigid gravitational fields does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with A class of energetically rigid gravitational fields, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A class of energetically rigid gravitational fields will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-1765067