Relativity

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J G Pereira - One of the best experts on this subject based on the ideXlab platform.

  • de sitter special Relativity
    2007
    Co-Authors: R Aldrovandi, J Beltran P Almeida, J G Pereira
    Abstract:

    A special Relativity based on the de Sitter group is introduced, which is a theory that might hold up in the presence of a non-vanishing cosmological constant. Like ordinary special Relativity, it retains the quotient character of spacetime, and a notion of homogeneity. As a consequence, the underlying spacetime will be a de Sitter spacetime, whose associated kinematics will differ from that of ordinary special Relativity. The corresponding modified notions of energy and momentum are obtained, and the exact relationship between them, which is invariant under a re-scaling of the involved quantities, explicitly exhibited. Since the de Sitter group can be considered a particular deformation of the Poincare group, this theory turns out to be a specific kind of deformed (or doubly) special Relativity. Some experimental consequences, as well as the causal structure of spacetime—modified by the presence of the de Sitter horizon—are briefly discussed.

  • de sitter special Relativity
    2006
    Co-Authors: R Aldrovandi, J Beltran P Almeida, J G Pereira
    Abstract:

    A special Relativity based on the de Sitter group is introduced, which is the theory that might hold up in the presence of a non-vanishing cosmological constant. Like ordinary special Relativity, it retains the quotient character of spacetime, and a notion of homogeneity. As a consequence, the underlying spacetime will be a de Sitter spacetime, whose associated kinematics will differ from that of ordinary special Relativity. The corresponding modified notions of energy and momentum are obtained, and the exact relationship between them, which is invariant under a re-scaling of the involved quantities, explicitly exhibited. Since the de Sitter group can be considered a particular deformation of the Poincar\'e group, this theory turns out to be a specific kind of deformed (or doubly) special Relativity. Some experimental consequences, as well as the causal structure of spacetime--modified by the presence of the de Sitter horizon--are briefly discussed.

R Aldrovandi - One of the best experts on this subject based on the ideXlab platform.

  • de sitter special Relativity
    2007
    Co-Authors: R Aldrovandi, J Beltran P Almeida, J G Pereira
    Abstract:

    A special Relativity based on the de Sitter group is introduced, which is a theory that might hold up in the presence of a non-vanishing cosmological constant. Like ordinary special Relativity, it retains the quotient character of spacetime, and a notion of homogeneity. As a consequence, the underlying spacetime will be a de Sitter spacetime, whose associated kinematics will differ from that of ordinary special Relativity. The corresponding modified notions of energy and momentum are obtained, and the exact relationship between them, which is invariant under a re-scaling of the involved quantities, explicitly exhibited. Since the de Sitter group can be considered a particular deformation of the Poincare group, this theory turns out to be a specific kind of deformed (or doubly) special Relativity. Some experimental consequences, as well as the causal structure of spacetime—modified by the presence of the de Sitter horizon—are briefly discussed.

  • de sitter special Relativity
    2006
    Co-Authors: R Aldrovandi, J Beltran P Almeida, J G Pereira
    Abstract:

    A special Relativity based on the de Sitter group is introduced, which is the theory that might hold up in the presence of a non-vanishing cosmological constant. Like ordinary special Relativity, it retains the quotient character of spacetime, and a notion of homogeneity. As a consequence, the underlying spacetime will be a de Sitter spacetime, whose associated kinematics will differ from that of ordinary special Relativity. The corresponding modified notions of energy and momentum are obtained, and the exact relationship between them, which is invariant under a re-scaling of the involved quantities, explicitly exhibited. Since the de Sitter group can be considered a particular deformation of the Poincar\'e group, this theory turns out to be a specific kind of deformed (or doubly) special Relativity. Some experimental consequences, as well as the causal structure of spacetime--modified by the presence of the de Sitter horizon--are briefly discussed.

J Beltran P Almeida - One of the best experts on this subject based on the ideXlab platform.

  • de sitter special Relativity
    2007
    Co-Authors: R Aldrovandi, J Beltran P Almeida, J G Pereira
    Abstract:

    A special Relativity based on the de Sitter group is introduced, which is a theory that might hold up in the presence of a non-vanishing cosmological constant. Like ordinary special Relativity, it retains the quotient character of spacetime, and a notion of homogeneity. As a consequence, the underlying spacetime will be a de Sitter spacetime, whose associated kinematics will differ from that of ordinary special Relativity. The corresponding modified notions of energy and momentum are obtained, and the exact relationship between them, which is invariant under a re-scaling of the involved quantities, explicitly exhibited. Since the de Sitter group can be considered a particular deformation of the Poincare group, this theory turns out to be a specific kind of deformed (or doubly) special Relativity. Some experimental consequences, as well as the causal structure of spacetime—modified by the presence of the de Sitter horizon—are briefly discussed.

  • de sitter special Relativity
    2006
    Co-Authors: R Aldrovandi, J Beltran P Almeida, J G Pereira
    Abstract:

    A special Relativity based on the de Sitter group is introduced, which is the theory that might hold up in the presence of a non-vanishing cosmological constant. Like ordinary special Relativity, it retains the quotient character of spacetime, and a notion of homogeneity. As a consequence, the underlying spacetime will be a de Sitter spacetime, whose associated kinematics will differ from that of ordinary special Relativity. The corresponding modified notions of energy and momentum are obtained, and the exact relationship between them, which is invariant under a re-scaling of the involved quantities, explicitly exhibited. Since the de Sitter group can be considered a particular deformation of the Poincar\'e group, this theory turns out to be a specific kind of deformed (or doubly) special Relativity. Some experimental consequences, as well as the causal structure of spacetime--modified by the presence of the de Sitter horizon--are briefly discussed.

P C Stavrinos - One of the best experts on this subject based on the ideXlab platform.

  • general very special Relativity in finsler cosmology
    2009
    Co-Authors: A P Kouretsis, M Stathakopoulos, P C Stavrinos
    Abstract:

    General very special Relativity (GVSR) is the curved space-time of very special Relativity (VSR) proposed by Cohen and Glashow. The geometry of general very special Relativity possesses a line element of Finsler geometry introduced by Bogoslovsky. We calculate the Einstein field equations and derive a modified Friedmann-Robertson-Walker cosmology for an osculating Riemannian space. The Friedmann equation of motion leads to an explanation of the cosmological acceleration in terms of an alternative non-Lorentz invariant theory. A first order approach for a primordial-spurionic vector field introduced into the metric gives back an estimation of the energy evolution and inflation.

A P Kouretsis - One of the best experts on this subject based on the ideXlab platform.

  • general very special Relativity in finsler cosmology
    2009
    Co-Authors: A P Kouretsis, M Stathakopoulos, P C Stavrinos
    Abstract:

    General very special Relativity (GVSR) is the curved space-time of very special Relativity (VSR) proposed by Cohen and Glashow. The geometry of general very special Relativity possesses a line element of Finsler geometry introduced by Bogoslovsky. We calculate the Einstein field equations and derive a modified Friedmann-Robertson-Walker cosmology for an osculating Riemannian space. The Friedmann equation of motion leads to an explanation of the cosmological acceleration in terms of an alternative non-Lorentz invariant theory. A first order approach for a primordial-spurionic vector field introduced into the metric gives back an estimation of the energy evolution and inflation.