scholarly journals Integrability conditions for the Bianchi identities as transformations in Schwarzschild space-time

Author(s):  
J. F. Q. Fernandes ◽  
A. W.-C. Lun

AbstractWe investigate the relationship between the Bardeen-Press and the Regge-Wheeler equations for perturbations of the Schwarzschild geometry. We examine how tetrad and coordinate gauge invariant Regge-Wheeler field quantities arise naturally from the perturbed Bianchi identities in the modified Newman-Penrose (compacted spincoefficient) formalism. The integrability conditions for the Bianchi identities then provide the transformation identities relating these quantities to the Bardeen-Press quantities. The relationships between the Bardeen-Press quantities of opposite spin-weight also arise naturally in our approach.

1989 ◽  
Vol 04 (15) ◽  
pp. 3819-3831 ◽  
Author(s):  
LING-LIE CHAU ◽  
CHONG-SA LIM

A set of geometrical constraints for D = 10, N = 1 supergravity is formulated. It has the meaning as integrability conditions on "hyperplanes" determined by light-like lines in the superspace. The dynamical consequence of these geometrical constraints is studied via Bianchi identities. Since no equations of motion have resulted, these geometrical constraints can form an off-shell set of constraints for the theory. We also discuss additional constraints that lead to Poincare supergravity equations of motion. The relation of the theory with D = 4 N = 4 supergravity is also illuminated.


2019 ◽  
Vol 8 (4) ◽  
pp. 418-427
Author(s):  
Eko Siswanto ◽  
Hasbi Yasin ◽  
Sudarno Sudarno

In many applications, several time series data are recorded simultaneously at a number of locations. Time series data from nearby locations often to be related by spatial and time. This data is called spatial time series data. Generalized Space Time Autoregressive (GSTAR) model is one of space time models used to modeling and forecasting spatial time series data. This study applied GTSAR model to modeling volume of rainfall four locations in Jepara Regency, Kudus Regency, Pati Regency, and Grobogan Regency. Based on the smallest RMSE mean of forecasting result, the best model chosen by this study is GSTAR (11)-I(1)12 with the inverse distance weighted. Based on GSTAR(11)-I(1)12 with the inverse distance weighted, the relationship between the location shown on rainfall Pati Regency influenced by the rainfall in other regencies. Keywords: GSTAR, RMSE, Rainfall


2001 ◽  
Vol 16 (05) ◽  
pp. 759-766 ◽  
Author(s):  
ALI H. CHAMSEDDINE

The presence of a constant background antisymmetric tensor for open strings or D-branes forces the space-time coordinates to be noncommutative. An immediate consequence of this is that all fields get complexified. By applying this idea to gravity one discovers that the metric becomes complex. Complex gravity is constructed by gauging the symmetry U(1, D-1). The resulting action gives one specific form of nonsymmetric gravity. In contrast to other theories of nonsymmetric gravity the action is both unique and gauge invariant. It is argued that for this theory to be consistent one must prove the existence of generalized diffeomorphism invariance. The results are easily generalized to noncommutative spaces.


Author(s):  
В.Р. Аминева

На материале произведений современной татарской писательницы Р. Габдулхаковой выявляются конститутивные черты жанра парча в современной татарской литературе. Охарактеризованы жанровые разновидности парчи в творчестве Р. Габдулхаковой, которые соответствуют двум направлениям сюжетного движения: от внешнего к внутреннему или от единичного к универсальному и двум типам повествования - от 1-го или от 3-го лица. Художественное завершение в парчах первого типа определяется постижением некой нравственной истины, вытекающей из лично пережитой лирическим субъектом ситуации, в парчах второго типа оно создается переходом от отдельных явлений к их суммирующему итогу. Сделан вывод о том, что внутреннюю меру жанра определяет характер соотношения повествовательной фабулы и обобщающей ее «концовки». Описаны свойственные этому жанру пространственно-временные отношения и принципы организации субъектной сферы. Структурообразующая роль в парчах Р. Габдулхаковой отводится субъективно-лирическому началу в повествовании. В произведениях писательницы проявились как особенности ее творческой индивидуальности, так и типологические черты женской прозы в целом с ее повышенной эмоциональностью, автобиографичностью и проникновенностью. Большинство миниатюр Р. Габдулхаковой написаны от первого лица и представляют сознание женщины, сосредоточенной на переживании своего одиночества и «холода жизни», безответной любви и позднего раскаяния, боли утраты, преследующей каждого человека после ухода матери. Парчи, написанные от третьего лица, раскрывают сознание человека, знающего о существовании объективных закономерностей и пытающегося найти личный выход из безнадежных ситуаций. В творчестве Р. Габдулхаковой парча функционирует как синтетический жанр, вбирающий в себя элементы других жанровых форм. On the material of works of the modern Tatar writer R. Gabdulhakova the constitutive features of the genre of the parcha are revealed. Genre varieties of parcha in the work of R. Gabdulkhakova are characterized, which correspond to two directions of plot movement: from the external to the internal or from the individual to the universal, and two types of narrative-from 1 or 3 persons. Artistic completion in the parcha of the first type is determined by the realization of a certain moral truth arising from the situation personally experienced by the lyrical subject, in the parcha of the second type it is created by the transition from individual phenomena to their summing result. It is concluded that the internal measure of the genre determines the nature of the relationship between the narrative plot and its generalizing "ending". Space-time relations and principles of organization of the subject sphere peculiar to this genre are described. The structure-forming role in the parcha of R. Gabdulkhakova is assigned to the subjective-lyrical beginning in the narrative. The works of the writer manifested both the features of her creative individuality and the typological features of female prose in general with its increased emotionality, autobiography and penetration. Most of R. Gabdulhakova’s miniatures are written in the first person and represent the consciousness of a woman focused on experiencing her loneliness and “cold life”, unrequited love and late repentance, the pain of loss that haunts every person after leaving her mother. Рarcha written in the third person reveal the consciousness of a person who knows about the existence of objective laws and tries to find a personal way out of hopeless situations. Allegorical or symbolic imagery at the same time turns a personal scenario - into a typical, universal human one. In the work of R. Gabdulhakova parcha functions as a synthetic genre, incorporating elements of other genre forms.


2017 ◽  
Vol 2017 ◽  
pp. 1-7 ◽  
Author(s):  
Yu-Bo Ma ◽  
Li-Chun Zhang ◽  
Jian Liu ◽  
Ren Zhao ◽  
Shuo Cao

In this paper, by analyzing the thermodynamic properties of charged AdS black hole and asymptotically flat space-time charged black hole in the vicinity of the critical point, we establish the correspondence between the thermodynamic parameters of asymptotically flat space-time and nonasymptotically flat space-time, based on the equality of black hole horizon area in the two different types of space-time. The relationship between the cavity radius (which is introduced in the study of asymptotically flat space-time charged black holes) and the cosmological constant (which is introduced in the study of nonasymptotically flat space-time) is determined. The establishment of the correspondence between the thermodynamics parameters in two different types of space-time is beneficial to the mutual promotion of different time-space black hole research, which is helpful to understand the thermodynamics and quantum properties of black hole in space-time.


2018 ◽  
Vol 27 (07) ◽  
pp. 1841004
Author(s):  
L. Sbitneva

The original approach of Lie to the theory of transformation groups acting on smooth manifolds, on the basis of differential equations, being applied to smooth loops, has permitted the development of the infinitesimal theory of smooth loops generalizing the Lie group theory. A loop with the law of associativity verified for its binary operation is a group. It has been shown that the system of differential equations characterizing a smooth loop with the right Bol identity and the integrability conditions lead to the binary-ternary algebra as a proper infinitesimal object, which turns out to be the Bol algebra (i.e. a Lie triple system with an additional bilinear skew-symmetric operation). There exist the analogous considerations for Moufang loops. We will consider the differential equations of smooth loops, generalizing smooth left Bol loops, with the identities that are the characteristic identities for the algebraic description of some relativistic space-time models. Further examinations of the integrability conditions for the differential equations allow us to introduce the proper infinitesimal object for some subclass of loops under consideration. The geometry of corresponding homogeneous spaces can be described in terms of tensors of curvature and torsion.


2018 ◽  
Vol 33 (31) ◽  
pp. 1844028
Author(s):  
P. H. Frampton

We discuss again the approach to cyclic cosmology based on the 2007 Baum–Frampton model. By introducing the relationship between entanglement entropy and space–time connectivity first introduced by Van Raamsdonck (2010) we show how vanishing entropy at the turnaround, and hence at the bounce after adiabatic contraction, can be better understood in this solution to the Tolman entropy conundrum.


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