Hawking radiation via complex geodesics

Download

10.1103:PhysRevD.98.045019.pdf

Date

2018-8-29

Author

Dumlu, Cesim K.

Metadata

Show full item record

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Item Usage Stats

107
views

77
downloads

We describe in detail the quantum tunneling of massive particles from Kerr black hole by using complex trajectories, which are solutions to Hamilton's equations of motion with imaginary proper time. The trajectories are smooth and cover the inner and outer horizon regions. Following the worldline approach, we compute the energy flux at the event horizon as a summation over these complex trajectories. The density of states is given with the aid of Carter's constant, and it is shown to be linear in momenta in the leading order, as long as the phase portrait of the system stays uniform. Under this assumption, we obtain the thermal spectrum similar to(T-H(+))(4).

Subject Keywords

Physics and Astronomy (miscellaneous), BLACK-HOLE, WORLDLINE INSTANTONS, PAIR PRODUCTION, FIELD THEORY, KERR, CREATION

URI

https://hdl.handle.net/11511/52053

Journal

Physical Review D

DOI

https://doi.org/10.1103/physrevd.98.045019

Collections

Department of Physics, Article

Suggestions

OpenMETU
Core

Hermitian and gauge-covariant Hamiltonians for a particle in a magnetic field on cylindrical and spherical surfaces Shikakhwa, M. S.; Chair, N. (IOP Publishing, 2017-01-01) We construct the Hermitian Schrodinger Hamiltonian of spin-less particles and the gauge-covariant Pauli Hamiltonian of spin one-half particles in a magnetic field, which are confined to cylindrical and spherical surfaces. The approach does not require the use of involved differential-geometrical methods and is intuitive and physical, relying on the general requirements of Hermicity and gauge-covariance. The surfaces are embedded in the full three-dimensional space and confinement to the surfaces is achieved...
Neutrino oscillations induced by spacetime torsion Adak, M; Dereli, T; Ryder, LH (IOP Publishing, 2001-04-21) The gravitational neutrino oscillation problem is studied by considering the Dirac Hamiltonian in a Riemann-Cartan spacetime and calculating the dynamical phase. Torsion contributions which depend on the spin direction of the mass eigenstates are found. These effects are of the order of Planck scales.
Gravitational interactions in 2+1 dimensions Dereli, Tekin; Tucker, Robin W. (IOP Publishing, 1988-7-1) Modifications to Einstein's vacuum equations for gravitation in 2+1 dimensions are studied. The addition of the Schouten-Eisenhart 2-forms to the field equations admits gravitational wave solutions although no non-trivial static rotationally symmetric metrics exist. Higher-order derivative models for the metric are discussed together with a 2+1 Brans-Dicke theory. The latter is solved for a static metric exhibiting singularities.
CASIMIR EFFECT IN A HALF EINSTEIN UNIVERSE - AN EXACTLY SOLVABLE CASE IN CURVED BACKGROUND AND WITH A SPHERICAL BOUNDARY BAYIN, SS; OZCAN, M (IOP Publishing, 1993-09-01) We reconsider the Casimir problem for the massless conformal scalar field in a 'half Einstein universe'. We first calculate the renormalized vacuum energy by using the mode sum method. Next, we calculate the renormalized vacuum energy-momentum tensor by using the point-splitting method. We construct the Green function by using the eigenfunctions, which are obtained by solving the wave equation with the appropriate boundary conditions. We discuss the importance of this case as well as its relation to previo...
Stationary Lifshitz black hole of New Massive Gravity Sarıoğlu, Bahtiyar Özgür (IOP Publishing, 2019-01-10) I present the stationary Lifshitz black hole solution of three-dimensional New Massive Gravity theory and study its elementary geometric and thermodynamical properties.

Citation Formats

C. K. Dumlu, “Hawking radiation via complex geodesics,” Physical Review D, 2018, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/52053.