Connectivity by geodesics on globally hyperbolic spacetimes with a lightlike Killing vector field

2017 ◽  
Vol 33 (1) ◽  
pp. 1-28 ◽  
Author(s):  
Rossella Bartolo ◽  
Anna Maria Candela ◽  
José Luis Flores
Keyword(s):  
Vector Field ◽  
Killing Vector ◽  
Killing Vector Field ◽  
Globally Hyperbolic ◽  
Globally Hyperbolic Spacetimes ◽  
Hyperbolic Spacetimes

Connectivity by geodesics in open subsets of globally hyperbolic spacetimes

2015 ◽  
Vol 12 (08) ◽  
pp. 1560009
Author(s):  
Rossella Bartolo ◽  
Anna Maria Candela ◽  
José Luis Flores
Keyword(s):  
Vector Field ◽  
Plane Waves ◽  
Killing Vector ◽  
Killing Vector Field ◽  
Convex Boundary ◽  
Globally Hyperbolic ◽  
Globally Hyperbolic Spacetimes ◽  
Hyperbolic Spacetimes ◽  
Geodesic Connectedness

We discuss the geodesic connectedness problem in open subsets with convex boundary of globally hyperbolic spacetimes endowed with a complete, timelike or lightlike, Killing vector field. Furthermore, we furnish applications to generalized plane waves.

On the geometry of Killing vector field

2019 ◽  
Vol 2019 (2) ◽  
pp. 62-67
Author(s):  
R.A. Ilyasova
Keyword(s):  
Vector Field ◽  
Killing Vector ◽  
Killing Vector Field

Some Properties of Para-Sasakian Manifolds

2017 ◽  
Vol 5 (2) ◽  
pp. 73-78
Author(s):  
Jay Prakash Singh ◽  
Keyword(s):  
Vector Field ◽  
Killing Vector ◽  
Sasakian Manifold ◽  
Subject Classification ◽  
Killing Vector Field ◽  
Sasakian Manifolds ◽  
Geometric Properties ◽  
Paper Author

In this paper author present an investigation of some differential geometric properties of Para-Sasakian manifolds. Condition for a vector field to be Killing vector field in Para-Sasakian manifold is obtained. Mathematics Subject Classification (2010). 53B20, 53C15.

scholarly journals Cohomological localization of $$ \mathcal{N} $$ = 2 gauge theories with matter

2020 ◽  
Vol 2020 (9) ◽  
Author(s):  
Guido Festuccia ◽  
Anastasios Gorantis ◽  
Antonio Pittelli ◽  
Konstantina Polydorou ◽  
Lorenzo Ruggeri
Keyword(s):  
Vector Field ◽  
Extended Supersymmetry ◽  
General Framework ◽  
Gauge Theories ◽  
Killing Vector ◽  
Killing Vector Field ◽  
Explicit Result ◽  
Yang Mills ◽  
Self Duality ◽  
Witten Theory

Abstract We construct a large class of gauge theories with extended supersymmetry on four-dimensional manifolds with a Killing vector field and isolated fixed points. We extend previous results limited to super Yang-Mills theory to general $$ \mathcal{N} $$ N = 2 gauge theories including hypermultiplets. We present a general framework encompassing equivariant Donaldson-Witten theory and Pestun’s theory on S4 as two particular cases. This is achieved by expressing fields in cohomological variables, whose features are dictated by supersymmetry and require a generalized notion of self-duality for two-forms and of chirality for spinors. Finally, we implement localization techniques to compute the exact partition function of the cohomological theories we built up and write the explicit result for manifolds with diverse topologies.

The exterior derivative as a Killing vector field

1996 ◽  
Vol 93 (1) ◽  
pp. 157-170 ◽  
Author(s):  
J. Monterde ◽  
O. A. Sánchez-Valenzuela
Keyword(s):  
Vector Field ◽  
Killing Vector ◽  
Killing Vector Field ◽  
Exterior Derivative

scholarly journals CCNV Space-Times as Potential Supergravity Solutions

2018 ◽  
Vol 2018 ◽  
pp. 1-7
Author(s):  
A. Coley ◽  
D. McNutt ◽  
N. Pelavas
Keyword(s):  
Vector Field ◽  
Killing Vector ◽  
Space Time ◽  
Null Vector ◽  
Killing Spinor ◽  
Necessary Condition ◽  
Killing Vector Field ◽  
Higher Dimensional

It is of interest to study supergravity solutions preserving a nonminimal fraction of supersymmetries. A necessary condition for supersymmetry to be preserved is that the space-time admits a Killing spinor and hence a null or time-like Killing vector field. Any space-time admitting a covariantly constant null vector (CCNV) field belongs to the Kundt class of metrics and more importantly admits a null Killing vector field. We investigate the existence of additional non-space-like isometries in the class of higher-dimensional CCNV Kundt metrics in order to produce potential solutions that preserve some supersymmetries.

scholarly journals Global wave parametrices on globally hyperbolic spacetimes

2020 ◽  
Vol 490 (2) ◽  
pp. 124316
Author(s):  
Matteo Capoferri ◽  
Claudio Dappiaggi ◽  
Nicolò Drago
Keyword(s):  
Globally Hyperbolic ◽  
Globally Hyperbolic Spacetimes ◽  
Hyperbolic Spacetimes
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