Role of the remnant symmetries in gravitational theories based on absolute parallelism: a 2D standpoint

Abstract

By using simplified 2D gravitational, non-local Lorentz invariant actions constructed upon the torsion tensor, we discuss the physical meaning of the remnant symmetries associated with the near-horizon (Milne) geometry experienced by a radial observer in Schwarzschild spacetime. We then fully characterize the remnant symmetries corresponding to this near-horizon 2D geometry by solving the motion equations adapted to 2D Milne space. This symmetries, which represent special or privileged \emph{diads}, acquire the form of uniformly accelerated (Rindler) observers whose constant acceleration is proportional to the black hole mass $M$.

arXiv comment11 pages, 1 figure, accepted for publication in Classical and Quantum Gravity

References in corpus (33)

• Dark torsion as the cosmic speed-up
• Modified teleparallel gravity: inflation without inflaton
• The teleparallel equivalent of general relativity
• Teleparallel Gravity: From Theory to Cosmology
• The covariant formulation of f(T) gravity
• Teleparallel Theories of Gravity: Illuminating a Fully Invariant Approach
• Born-Infeld-Einstein Actions?
• Born-Infeld inspired modifications of gravity
• Non trivial frames for f(T) theories of gravity and beyond
• Degrees of freedom of $f(T)$ gravity
• Cosmological Solutions of $f(T)$ Gravity
• Hamiltonian formalism for f(T) gravity
• On reference frames in spacetime and gravitational energy in freely falling frames
• Remnant group of local Lorentz transformations in f(T) theories
• Local symmetries and physical degrees of freedom in $f(T)$ gravity: a Dirac Hamiltonian constraint analysis
• Foundational issues in f(T) gravity theory
• Quest for the extra degree of freedom in f(T) gravity
• Poincaré Gauge Theory for Gravitational Forces in (1+1) Dimensions
• Minkowski space in $f(T)$ gravity
• Non-trivial Minkowski backgrounds in f(T) gravity
• Towards complete integrability of two dimensional Poincaré gauge gravity
• Issues of Lorentz-invariance in f(T) gravity and calculations for spherically symmetric solutions
• What is the reference frame of an accelerated observer?
• Reflections on the covariance of modified teleparallel theories of gravity
• Pseudoinvariance and the extra degree of freedom in f(T) gravity
• The regular black hole in four dimensional Born-Infeld gravity
• Fields of accelerated sources: Born in de Sitter
• Poincaré Gauge Theories for Lineal Garvity
• On the construction of Fermi-Walker transported frames
• An analysis of Born-Infeld determinantal gravity in Weitzenbock spacetime
• BTZ gems inside regular Born-Infeld black holes
• Rindler horizon entropy from nonstationarity
• The Milne spacetime and the hadronic Rindler horizon

Cited by in corpus (3)

• Chronology protection in $f(T)$ gravity: the case of Gott's pair of moving cosmic strings
• Teleparallel Jackiw-Teitelboim gravity
• Local symmetries in $f(T)$-like models: lessons from 2D