Black Hole Complementarity in Gravity's Rainbow
arXiv:1501.04702 · doi:10.1088/1475-7516/2015/05/002
Abstract
To see how the gravity's rainbow works for black hole complementary, we evaluate the required energy for duplication of information in the context of black hole complementarity by calculating the critical value of the rainbow parameter in the certain class of the rainbow Schwarzschild black hole. The resultant energy can be written as the well-defined limit for the vanishing rainbow parameter which characterizes the deformation of the relativistic dispersion relation in the freely falling frame. It shows that the duplication of information in quantum mechanics could not be allowed below a certain critical value of the rainbow parameter; however, it might be possible above the critical value of the rainbow parameter, so that the consistent formulation in our model requires additional constraints or any other resolutions for the latter case.
13 pages, 2 figures added and many improvements, version to appear in JCAP
References in corpus (13)
- Black holes as mirrors: quantum information in random subsystems
- Planck-scale modified dispersion relations and Finsler geometry
- Absence of an Effective Horizon for Black Holes in Gravity's Rainbow
- Physical observability of horizons
- Entropy and temperature of black holes in a gravity's rainbow
- Black Holes, Information, and Hilbert Space for Quantum Gravity
- Modified Dispersion Relations lead to a finite Zero Point Gravitational Energy
- Modified (A)dS Schwarzschild black holes in Rainbow spacetime
- Rainbow universe
- Covariant anomaly and Hawking radiation from the modified black hole in the rainbow gravity theory
- Backreaction of Hawking Radiation on a Gravitationally Collapsing Star I: Black Holes?
- Thermodynamic phase transition in the rainbow Schwarzschild black hole
- The kinematics of particles moving in rainbow spacetime
Cited by in corpus (4)
- Dilatonic black holes in gravity's rainbow with a nonlinear source: the effects of thermal fluctuations
- Expansion of magnetic neutron stars in an energy (in)dependent spacetime
- F(R) gravity's rainbow and its Einstein counterpart
- Thermodynamic stability of modified Schwarzschild-AdS black hole in rainbow gravity