From smooth curves to universal metrics

Metin Gürses, Tahsin Çağrı Şişman, and Bayram Tekin
Phys. Rev. D 94, 044042 – Published 22 August 2016

Abstract

A special class of metrics, called universal metrics, solves all gravity theories defined by covariant field equations purely based on the metric tensor. Since we currently lack the knowledge of what the full quantum-corrected field equations of gravity are at a given microscopic length scale, these metrics are particularly important in understanding quantum fields in curved backgrounds in a consistent way. However, finding explicit universal metrics has been a difficult problem as there does not seem to be a procedure for it. In this work, we overcome this difficulty and give a construction of universal metrics of d-dimensional spacetime from curves constrained to live in a (d1)-dimensional Minkowski spacetime or a Euclidean space.

  • Figure
  • Received 27 June 2016

DOI:https://doi.org/10.1103/PhysRevD.94.044042

© 2016 American Physical Society

Physics Subject Headings (PhySH)

Gravitation, Cosmology & Astrophysics

Authors & Affiliations

Metin Gürses1,*, Tahsin Çağrı Şişman2,†, and Bayram Tekin3,‡

  • 1Department of Mathematics, Faculty of Sciences Bilkent University, 06800 Ankara, Turkey
  • 2Department of Astronautical Engineering, University of Turkish Aeronautical Association, 06790 Ankara, Turkey
  • 3Department of Physics, Middle East Technical University, 06800 Ankara, Turkey

  • *gurses@fen.bilkent.edu.tr
  • tahsin.c.sisman@gmail.com
  • btekin@metu.edu.tr

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Issue

Vol. 94, Iss. 4 — 15 August 2016

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