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Light-likeness of Bordlines of Extremal Surfaces of Mixed Type in Physical Space-times
Light-likeness Bordlines Extremal Surfaces Mixed Type Physical Space-times
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2018/4/19
In this paper, we prove the light-likeness of bordlines of smooth extremal surfaces of mixed type in general physical space-times, and for the case of the (1+2)-dimensional Minkowski space R1+2, we im...
Wave equations on non-smooth space-times
Wave equation, Cauchy problem, global hyperbolicity, distributional solutions, generalized solutions
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2011/8/22
Abstract: We consider wave equations on Lorentzian manifolds in case of low regularity. We first extend the classical solution theory to prove global unique solvability of the Cauchy problem for distr...
A note on proper affine vector fields in Bianchi type IV space-times
Affine vector fields holonomy and decomposability
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2010/9/21
Affine vector fields of Bianchi type IV space-times are investigated using holonomy and decomposability, the rank of the 6× 6 Riemann matrix and direct integration technique. From the above study it f...
A note on proper affine symmetry in Bianchi types VI_0 and VII_0 space-times
Affine vector fields holonomy and decomposability
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2010/9/27
A study proper affine symmetry in the most general form of the Bianchi types 0 VI and 0 VII space-times is given by using holonomy and decomposability, the rank of the 6× 6 Riemann matrix and direct i...
Absence of ground state for the Nelson model on static space-times
Quantum field theory Nelson model static space-times ground state
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2011/1/21
We consider the Nelson model on some static space-times and investigate the problem of absence of a ground state. Nelson models with variable coefficients arise when one replaces in the usual Nelson m...
Super-Poincare' algebras, space-times and supergravities (I)
Super-Poincare' algebras space-times supergravities
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2010/11/18
A new formulation of theories of supergravity as theories satisfying a generalized Principle of General Covariance is given. It is a generalization of the superspace formulation of simple 4D-supergra...
Classification of spatially homogeneous rotating space-times according to their conformal vector fields
Direct integration technique Conformal vector field
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2010/9/13
Direct integration technique is used to study non conformally flat spatially homogeneous rotating space-times according to their conformal vector fields. It is shown that the above space-times do not ...
On Space-Times with commutative parings of vector fields
Commutative parings sachs frame Schwarzchild space-time
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2009/1/8
Let (M,g) be general space-time and let S be a Sachs frame over M. In this
paper we use the complex vector´ıal formalism constructed in [2]. If hA , (A =
1, 2, 3, 4) are the null vector f...
Classi¯cation of cylindrically symmetric static space-times according to their proper homothetic vector ¯elds
proper homothetic vector ¯ elds direct integration technique
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2009/1/7
A complete classi¯cation of cylindrically symmetric static space-
times according to their proper homothetic vector ¯eld is given by using
direct integration technique. Using the above men...
A note on proper conformal vector ¯elds in Bianchi type I space-times
Direct integration techniques proper conformal vector ¯ elds
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2009/1/5
Direct integration technique is used to study the proper con-
formal vector ¯elds in non conformally °at Bianchi type-1 space-times.
Using the above mentioned technique we have shown that a ver...