摘要:

AbstractThe Lagrangian of the general‐relativistic affine field theory of the non‐symmetric connection field Γiklis Schrödinger scalar density\documentclass{article}\pagestyle{empty}\begin{document}$ H = \frac{2}{\lambda }\sqrt { - \det [R} _{ik} ] $\end{document}, and the field variables (canonical coordinates) are Einstein's affine tensorsUmnl= Γlmn‐ δnlΓrmn. The field equations are the Einstein‐Schrödinger equations\documentclass{article}\pagestyle{empty}\begin{document}$$ \frac{{\delta H}}{{\delta U^i _{mn} }} = N^{mn} _i = 0 $$\end{document}The minors\documentclass{article}\pagestyle{empty}\begin{document}$$ \frac{{\partial H}}{{\partial R_{mn} }} = G^{mn} = \sqrt { - gg^{mn} } $$\end{document}give by definitongmn= λ−1Rmn, and λ becomes the cosmological constant. The Hamiltonian density is theV00‐component of the Einstein energy‐momentum complex\documentclass{article}\pagestyle{empty}\begin{document}$$ V_i ^k = \frac{{\partial H}}{{\partial U^i _{mn,k} }}U^i _{mn,i} = - \frac{1}{{2\lambda ^2 }}HR^{mn} \partial _i^k U^i _{mn.i} $$\end{document}and the tensor‐density components\documentclass{article}\pagestyle{empty}\begin{document}$$ \gamma ^{mn} _i = - \frac{1}{{2\lambda ^2 }}HR^{mn} \partial _i^0 = - \sqrt { - gg^{mn} } \partial _i^0 = g^{mn} \partial _1^0 $$\end{document}are the canonically conjugated momentum densities of the field coordinatesUlmn. The canonical equations are\documentclass{article}\pagestyle{empty}\begin{document}$$ ( - g)^{ - \frac{1}{2}} N^{mn} _{iV_0^0 } = 0 $$\end{document}, and we have no constraints. The affine field theory is invariant with respect to all transformations which preserve the Levi‐Civita parallelism (Einstein's unifiedT‐Agroup), and the field equations possess transposition invariance: WithŨlmn=Ulnmwe getR̃mn=Rnm,g̃mn=gnm, andÑmnl=Unml.The symmetry conditions Γimn= Γinmreduce the space to the general‐relativistic Einstein spaces withRik=Rki. The equationRik= λgikyields Γikl= {ikl}, and the pathes of test particles define geodes

ISSN:0004-6337    

DOI:10.1002/asna.2103150102

出版商:WILEY‐VCH Verlag    

年代:1994

数据来源: WILEY

ISSN:0004-6337    

DOI:10.1002/asna.2103150103

出版商:WILEY‐VCH Verlag    

年代:1994

数据来源: WILEY

摘要:

AbstractThe third part of the photometric catalogue of Shakhbazian compact groups of galaxies contains optical and geometrical properties of another 24 groups (Shkh 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312). As in the first paper photometric data were obtained from the COSMOS/UKST catalogue of the Southern sky with δ ⩽ +2°30'. The survey of compact galaxy groups by Shakhbazian, Petrosian, Baier, and Tiersch is a basis for studying physical properties of such gro

ISSN:0004-6337    

DOI:10.1002/asna.2103150104

出版商:WILEY‐VCH Verlag    

年代:1994

数据来源: WILEY

摘要:

AbstractAltogether 81 objects discovered between 1987 and 1990 have been accepted by the author as new PN (Table 1). In the Appendix to Table 1 we give the list of possible pre‐PN. In the list of misclassified PN (Table 2) 86 objects were included. A statistics of the new and misclassified PN since CGPN is presente

ISSN:0004-6337    

DOI:10.1002/asna.2103150105

出版商:WILEY‐VCH Verlag    

年代:1994

数据来源: WILEY

摘要:

AbstractA proper motion study from Tautenburg Schmidt plates is presented for the globular cluster M3 and its vicinity. The plates were scanned with the Automated Photographic Measuring (APM) system in Cambridge (UK). A photographic B,V photometry and star counts on the deepest plates were carried out. With a limiting magnitude of aboutB= 21.4 proper motions with an accuracy from 2 to 3 mas/yr have been obtained for stars withB19. The proper motions were determined using a stepwise regression method with 3rd order polynomials in the plate‐to‐plate solutions with about 2000 reference galaxies. The results which were corrected for systematic errors dependent on position and magnitude of the stars were used for the determination of membership probabilities. We also looked for possible internal motions of

ISSN:0004-6337    

DOI:10.1002/asna.2103150106

出版商:WILEY‐VCH Verlag    

年代:1994

数据来源: WILEY

ISSN:0004-6337    

DOI:10.1002/asna.2103150101

出版商:WILEY‐VCH Verlag    

年代:1994

数据来源: WILEY