Archive

Archive for the ‘2010 Volume 5’ Category

Nov
09

Four-index equations for gravitation and the gravitational energy-momentum tensor [1]

      Zahid Zakir [2]

Abstract

    A new treatment of the gravitational energy on the basis of 4-index gravitational equations is reviewed. The gravitational energy for the Schwarzschild field is considered.

PACS: 04.20.Cv, 04.20.Fy, 11.10.-z

Key words: gravitational energy, curvature tensor, vacuum energy

Vol. 5, No 2,  p. 22 – 25, v1,   9 November 2010

Online: TPAC: 3600-019 v2,  28 September 2012; DOI: 10.9751/TPAC.3600-019

[1] The preprint of the paper has been presented in 1999 (revised 2003): Zakir Z. arXiv:gr-qc/9906039

[2] Centre for Theoretical Physics and Astrophyics, Tashkent, Uzbekistan

      zahidzakir@theor-phys.org


Nov
09

Four-index energy-momentum tensors for gravitation and matter [1]

      Zahid Zakir [2]

Abstract

   The 4-index energy-momentum tensors for gravitation and matter are analyzed on the basis of new equations for the gravitational field with the Riemann tensor. Some properties of such defined gravitational energy are discussed.

PACS: 04.20.Cv, 04.20.Fy, 11.10.-z

Key words: gravitational energy, curvature tensor, vacuum energy

Vol. 5, No 2, p. 18 – 21, v1,   9 November 2010

Online: TPAC: 3600-018 v2,  28 September 2012; DOI: 10.9751/TPAC.3600-018


[1] The preprint of the paper has been presented in 1999 (revised 2003): Zakir Z. arXiv:gr-qc/9905036

[2] Centre for Theoretical Physics and Astrophyics, Tashkent, Uzbekistan

      zahidzakir@theor-phys.org


Nov
09

New equations for gravitation with the Riemann tensor and 4-index energy-momentum tensors for gravitation and matter [1]

      Zahid Zakir [2]

Abstract

    A generalized version of the Einstein equations in the 4-index form, containing the Riemann curvature tensor linearly, is derived. It is shown, that the gravitational energy-momentum density outside a source is represented across the Weyl tensor vanishing at the 2-index contraction. The 4-index energy-momentum density tensor for matter also is constructed.

PACS: 04.20.Cv, 04.20.Fy, 11.10.-z

Key words: gravitational energy, curvature tensor, vacuum energy

Vol. 5, No 2, p. 14 – 17, v1,   9 November 2010

Online: TPAC: 3600-017 v2, 28 September 2012; DOI:  10.9751/TPAC.3600-017


[1] The preprint of the paper has been presented in 1999 (revised 2003): Zakir Z. arXiv:gr-qc/9905009

[2] Centre for Theoretical Physics and Astrophyics, Tashkent, Uzbekistan

      zahidzakir@theor-phys.org


May
20

Are strings thermostrings? [1]

      Zahid Zakir [2]

Abstract

      In the method of thermostring quantization the time evolution of point particles at finite temperature kT is described in a geometric manner. The temperature paths of particles are represented as closed (thermo)strings, which are swept surfaces in a space-time-temperature manifold. The method makes it possible a new physical interpretation of superstrings IIA and heterotic strings as point particles in a thermal bath with Planck temperature.

PACS: 11.10.Wx, 11.10.Kk, 11.25.-w, 11.25.Uw, 11.25.Wx

Key words: quantization, finite temperature, extra dimensions, strings, branes

Vol. 5, No 1,  p. 8 – 13, v1,  20 May 2010

Online: TPAC: 3400-016 v2,  28 September 2012; DOI: 10.9751/TPAC.3400-016

Download  pdf 182 kb


[1] The preprint of the paper has been presented in 1998 (revised 2003): Zakir Z. arXiv:hep-th/9809247

[2] Centre for Theoretical Physics and Astrophyics, Tashkent, Uzbekistan

      zahidzakir@theor-phys.org


May
20

Thermostring quantization.

An interpretation of strings as particles at finite temperatures [1]

      Zahid Zakir [2]

Abstract

     In a space-temperature configurational manifold an instantaneous temperature path of a point particle can be represented as a string of length L=1/kT (thermostring). The thermostring swepts a surface in the space-time-temperature manifold at its temporal evolution. The thermostring is closed, its points can be rearranged and the charge is distributed along the length. Some predictions of this method for statistical mechanics and string theories are discussed.

PACS: 11.10.Wx, 11.10.Kk, 11.25.-w, 11.25.Uw, 11.25.Wx

Key words: quantization, finite temperature, extra dimensions, strings, branes

Vol. 5, No 1,  p. 1 – 7, v1,  20 May 2010

Online: TPAC: 3400-015 v2,  28 September 2012; DOI: 10.9751/TPAC.3400-015


[1] The preprint of the paper has been presented in 1998 (revised 2003): Zakir Z. arXiv:hep-th/9809170

[2] Centre for Theoretical Physics and Astrophyics, Tashkent, Uzbekistan

      zahidzakir@theor-phys.org