Journals / Turkish Journal of Physics / 2018 / Cilt: 42 - Sayı: 1

A note on noncompact and nonmetricit quadratic curvature gravity theories

Pages
70–77
Publication Date
2022-11-04
DOI
—
🏛️Bibliographic metadata and full text access for this article are provided via DergiPark.
DergiPark Record ↗
✨

AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

We also compute the Weyl-invariant extension of the topological Gauss{Bonnet term forthis speci c choice of vector field.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this note, we evaluate the Weyl-invariant quadratic curvature tensors for theparticularWeyl gauge eldconstructed in the 3 + 1-dimensional noncompact Weyl{Einstein{Yang{Mills model.
📊
Key Findings & Data:We subsequently extend the modelto its higher curvature version.
💡
Conclusion & Impact:We also compute the Weyl-invariant extension of the topological Gauss{Bonnet term forthis speci c choice of vector field.
🔬Design:Modeling & Simulation
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

In this note, we evaluate the Weyl-invariant quadratic curvature tensors for theparticularWeyl gauge eldconstructed in the 3 + 1-dimensional noncompact Weyl{Einstein{Yang{Mills model. We subsequently extend the modelto its higher curvature version. We also compute the Weyl-invariant extension of the topological Gauss{Bonnet term forthis speci c choice of vector field.

🔖

Cite This Article

DENGİZ, S. (2022). A note on noncompact and nonmetricit quadratic curvature gravity theories. Turkish Journal of Physics, Cilt: 42 - Sayı: 1, 70–77. https://ajindex.com/articles/614010

📄 Full Text PDF Viewer

📄

PDF görüntüleyici hazırlanıyor...

References (3)

  1. 't Hooft, G.; Veltman, M. J. G.Ann. Inst. H. Poincare Phys. Theor. A1974,20, 69-94. [2]Deser, S.; van Nieuwenhuizen, P.Phys. Rev. D1974,10, 401-410. [3]Goroff, M. H.; Sagnotti, A.Phys. Lett.1985,160B, 81-86. [4]Goroff, M. H.; Sagnotti, A.Nucl. Phys. B1986,266, 709-736. [5]van de Ven, A. E. M.Nucl. Phys. B1992,378, 309-366. [6]Stelle, K. S.Phys. Rev. D1977,16, 953-969. [7]Arnowitt, R. L.; Deser, S.; Misner, C. W.Gen. Rel. Grav.2008,40, 1997-2027. [8]Arnowitt, R. L.; Deser, S.; Misner, C. W.Phys. Rev.1959,116, 1322-1330. [9]Abbott, L. F.; Deser, S.Nucl. Phys. B1982,195, 76-96. [10]Deser, S.; Tekin, B.Phys. Rev. Lett.2002,89, 101101. [11]Deser, S.; Tekin, B.Phys. Rev. D2003,67, 084009. [12]Deser, S.; Liu, H.; Lu, H.; Pope, C. N.; Sisman, T. C.; Tekin, B.Phys. Rev. D2011,83, 061502. [13]Sisman, T. C.; Gullu, I.; Tekin, B.Class. Quant. Grav.2011,28, 195004. [14]Eddington, A. S.The Mathematical Theory of Relativity, 2nd ed.; Cambridge University Press:
  2. Cambridge, UK,1924. [15]Schrodinger, E.Spacetime Structure; Cambridge University Press:
  3. Cambridge, UK, 1950. [16]Schrodinger, E.Proc. Roy Irish Acad. A1947,51, 41-50. [17]Hehl, F. W.; McCrea, J. D.; Mielke, E. W.; Ne'eman, Y.Phys. Rept.1995,258, 1-171. [18]Weyl, H.Gravitation and Electricity; Sitzungsber. Preuss. Akad. Wiss.: Berlin, Germany, 1918. [19]Weyl, H.Annalen Phys.1919,59, 101-133. [20]London, F.Z. Phys.1927,42, 375-389. [21]O'Raifeartaigh, L.; Sachs, I.; Wiesendanger, C. In:Meeting on 70 Years of Quantum Mechanics, Calcutta, India,29 January{2 February 1996. [22]Iorio, A.; O'Raifeartaigh, L.; Sachs, I.; Wiesendanger, C.Nucl. Phys. B1997,495, 433-450. [23]Jimenez, J. B.; Koivisto, T. S.Class. Quant. Grav.2014,31, 135002. [24]Tanhayi, M. R.; Dengiz, S.; Tekin, B.Phys. Rev. D2012,85, 064016. [25]Oliva, J.; Ray, S.Class. Quant. Grav.2012,29, 205008. [26]Dengiz, S.; Kilicarslan, E.; Tekin, B.Phys. Rev. D2012,86, 104014. [27]Tanhayi, M. R.; Dengiz, S.; Tekin, B.Phys. Rev. D2012,85, 064008. [28]Jackiw, R.; Pi, S. Y.Fundam. Theor. Phys.2016,183, 159-162. [29]Jackiw, R.; Pi, S. Y.Phys. Rev. D2015,91, 067501. [30]Grumiller, D.; Jackiw, R.Phys. Lett. A2008,372, 2547-2551. [31]Grumiller, D.; Irakleidou, M.; Lovrekovic, I.; McNees, R.Phys. Rev. Lett.2014,112, 111102. [32]Dengiz, S. PhD, Middle East Technical University, Ankara, Turkey, 2014. arXiv:1409.5371 [hep-th]. [33]Klcarslan, E. PhD, Middle East Technical University, Ankara, Turkey, 2017. arXiv:1710.06731 [hep-th]. [34]de Berredo-Peixoto, G.; Shapiro, I.