Showing papers by "Hermann Bondi published in 1960"
TL;DR: In this paper, the emission of gravitational waves from a finite isolated axially symmetrical material system in otherwise empty space has been investigated by consideration of the metric : Einstein vacuum field equations have been solved by an expansion in negative powers of r which represents radial distance in a well-defined sense.
Abstract: THE emission of gravitational waves from a finite isolated axially symmetrical material system in otherwise empty space has been investigated by consideration of the metric : Einstein vacuum field equations have been solved by an expansion in negative powers of r which represents radial distance in a well-defined sense. In this expansion it has been assumed that only outgoing waves are present. The expression : represents mass in the static case, and forms a suitable generalization of this static concept to the dynamical case.
738 citations
01 Oct 1960
TL;DR: In this article, the problem of whether energy can be transferred from one system to another across empty space by gravitational interaction alone is considered, and two examples are given of systems in which the potential energy is the same at the beginning and end of an operation that does produce a resultant energy transfer.
Abstract: The problem is considered as to whether, in accordance with Newtonian theory, energy can be transferred from one system to another across empty space by gravitational interaction alone. Familiar examples of apparent energy transfer by this means do not give an unambiguous answer since they involve some net change of gravitational potential energy and this is not localized in the theory. Two examples are given here of systems in which the potential energy is the same at the beginning and end of an operation that does produce a resultant energy transfer. The establishment of this result is significant as a preliminary to the discussion of energy transfer according to general relativity theory. The appendix gives a particular illustration of one of the examples that admits exact mathematical treatment.
20 citations
TL;DR: In this paper, the modified Maxwell equations are written now Fvμ:v = 4 πJμ - λKμ, when equations (52) on p. 324 of our paper (1959) should be replaced by E 00 = λ /8 π K 2, E 11 = E 22 = E 33 = κ/8π e2 t/T K2.
Abstract: We are grateful to Professor Hoyle for drawing attention to the incorrect sign that we arrived at for the factor λ in our paper (1959), but the changes consequent upon setting this right appear to be quite minor, and if anything lead to more acceptable though not very different, values from those we obtained for the various quantities involved. If the modified Maxwell equations are written now Fvμ:v = 4 πJμ - λKμ , when equations (52) on p. 324 of our paper (1959) should be replaced by E 00 = λ /8 π K 2, E 11 = E 22 = E 33 = λ /8 π e2 t/T K2. In mixed form, these are equivalent to E = λ /8 π K 2, E 11 = E 22 = E 33 = λ /8 π K 2.
5 citations