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Physical Review. D, Particles Fields; v. 9(6); p. 1635-1640
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[en] It is shown that four-dimensional vacuum Einstein solutions simply embedded in five dimensions obey the Gauss-Bonnet-Einstein field equations: Gab+ αGBab + δ55abαexp[-2χ/√α]GB4 = 0 and the Pauli-Einstein equations Gab - 3αPab/5 = 0, and the Bach-Einstein equations Bab = 0. General equations are calculated for which these and similar results follow. It is briefly argued that such field equations could be significant on large distance scales.
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Nuovo Cimento. B; ISSN 2037-4895;
; v. 125(3); p. 309-314

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Original Title
Relations identiques entre les equations du formalisme de Newman-Penrose dans la description spinorielle
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Compt. Rend., Ser. A; v. 274(5); p. 427-430
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No abstract available
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Kuper, Charles G. (ed.); p. 81-86; 1971; Gordon and Breach, Science Publishers, Inc; New York; Seminar on relativity and gravitation; Haifa, Israel; 15 Jul 1969
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Book
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[en] By using the fact that the Yang-Mills and the Einstein equations are the integrability conditions of simple linear systems, we give a local ''pre-integration'' of these equations. This local pre-integration is the analogue of the integration of the zero curvature condition dsub(μ)Asub(ν)-dsub(ν)Asub(μ)+[Asub(μ), Asub(ν)]=0 in the form Asub(μ)=Mdsub(μ)(M-1). (orig.)
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Journal Article
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Phys. Lett., B; ISSN 0370-2693;
; v. 131(4-6); p. 323-326

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Acena, Andres E, E-mail: acena@aei.mpg.de2010
AbstractAbstract
[en] Using two sequences of symmetric trace free tensors, called the 'null data', we give a complete characterization of the asymptotics of all asymptotically flat, stationary solutions with non-vanishing ADM mass to Einstein's vacuum field equations. We present necessary and sufficient growth estimates on the null data for the existence of such a solution.
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ERE2009: Spanish relativity meeting; Bilbao (Spain); 7-11 Sep 2009; Available from http://dx.doi.org/10.1088/1742-6596/229/1/012014; Country of input: International Atomic Energy Agency (IAEA)
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Journal of Physics. Conference Series (Online); ISSN 1742-6596;
; v. 229(1); [4 p.]

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No abstract available
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J. Math. Phys; v. 13(10); p. 1469-1477
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[en] This paper deals with the analytical solutions of the field equations in the presence of radiating plane symmetric source. For this purpose we have solved the field equations as well as junction conditions by imposing the conformal flatness conditions. The effective adiabatic index (that determines the stability of the system) has been calculated for the present radiating source. It has been found that effective adiabatic index remains invariant throughout the matter distribution. To study the thermal behavior of the source, we have discussed the thermal profile of the source and found that in the absence of dissipation from the system the temperature of the system remains constant. (author)
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Available from doi: https://doi.org/10.1139/cjp-2016-0518; 18 refs.
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Journal Article
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Canadian Journal of Physics; ISSN 0008-4204;
; v. 95(1); p. 65-68

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[en] An exact plane wave solution of the coupled supergravity field equations is given. It is non-trivial in the sense that it cannot be reduced to the parallel-plane wave solution of vacuum Einstein's equations by supersymmetry transformations. (author)
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Symposium on mathematical methods in the theory of elementary particles; Liblice, Czechoslovakia; 18 - 23 Jun 1978
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Journal Article
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Conference
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Czechoslovak Journal of Physics; ISSN 0011-4626;
; v. 29(3); p. 252-255

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AbstractAbstract
No abstract available
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Physical Review. D, Particles Fields; v. 10(4); p. 1066-1069
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