Uniformly accelerated traveler in an FLRW universe

Kerachian, Morteza

doi:10.1103/physrevd.101.083536

Cited by 4 publications

(3 citation statements)

References 29 publications

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“…Therefore, the asymptotic past and asymptotic future of these co-ordinates end up on respective null boundaries. Such Rindler like hyperbolic trajectories in curved spacetime have been studied previously in various contexts [10][11][12][13], but here we provide their quantum field theoretic treatment. Since the co-ordinate transformation between these two frames is exactly similar to those between the nested Rindler, we will essentially get the similar Bogoliubov coefficients and ultimately the similar occupation number expression…”

Section: Generalization: Example Of Schwarzschild Exteriormentioning

confidence: 99%

A nested sequence of comoving Rindler frames, the corresponding vacuum states, and the local nature of acceleration temperature

Lochan,

Padmanabhan

2021

Preprint

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The Bogoliubov transformation connecting the standard inertial frame mode functions to the standard mode functions defined in the Rindler frame R0, leads to the result that the inertial vacuum appears as a thermal state with temperature T0 = a0/2π where a0 is the acceleration parameter of R0. We construct an infinite family of nested Rindler-like coordinate systems R1, R2, ... within the right Rindler wedge, with time coordinates τ1, τ2, ..., and acceleration parameters a1, a2, ... by shifting the origin along the inertial x-axis by amounts ℓ1, ℓ2, • • • . We show that, apart from the inertial vacuum, the Rindler vacuum of the frame Rn also appears to be a thermal state in the frame Rn+1 with the temperature an+1/2π. In fact, the Rindler frame Rn+1 attributes to all the Rindler vacuum states of R1, R2, ...Rn, as well as to the inertial vacuum state, the same temperature an+1/2π. The frame with the shift ℓ and the corresponding acceleration parameter a(ℓ) can be thought of as a Rindler frame which is instantaneously comoving with the Einstein's elevator moving with a variable acceleration. Our result suggests that the quantum temperature associated with such an Einstein's elevator is the same as that defined in the comoving Rindler frame. The shift parameters ℓj are crucial for the inequivalent character of these vacua and encode the fact that Rindler vacua are not invariant under spatial translation. We further show that our result is discontinuous in an essential way in the coordinate shift parameters. Similar structures can be introduced in the right wedge of any spacetime with bifurcate Killing horizon, like, for e.g., Schwarzschild spacetime. This has important implications for quantum gravity when flat spacetime is treated as the ground state of quantum gravity.

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Section: Generalization: Example Of Schwarzschild Exteriormentioning

confidence: 99%

A nested sequence of comoving Rindler frames, the corresponding vacuum states, and the local nature of acceleration temperature

Lochan,

Padmanabhan

2021

Preprint

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“…The charged particle motion in Kerr-Newman spacetime was analyzed in [12]. In addition to the above studies, several papers about geodesic motion in various spacetime backgrounds have been published [13][14][15][16][17][18][19][20][21][22][23][24][25][26]. The case of orbits around a BH immersed in an external electric field has unfortunately received less attention than its magnetic counterpart.…”

Section: Introductionmentioning

confidence: 99%

Motion of Particles in Schwarzschild Black Hole Surrounded by an External Electrostatic Field

Al-Badawi¹

2023

Preprint

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In this paper, we discussed the motion of neutral and charged particles in Schwarzschild black hole immersed in an electromagnetic universe (SEBH). The SEBH represents a mass M coupled to an external electromagnetic field that was derived from the metric of colliding electromagnetic waves with double polarization. Our study examine how the external electromagnetic field affects the trajectory of neutral and charged particles. First, the trajectories of both photon and test particle are studied. Then, the exact solutions for the trajectories are obtained in terms of the Jacobi-elliptic integrals for all possible energy and angular momentum of test particle and photon. We have also discussed the motion of charged particle and obtained the radius of the innermost circular orbit (ISCO). It is especially interesting when the charge sign is positive since this creates a conflict between gravitational (attraction force) and electric (repulsion force). Furthermore, we discuss the Lyapunov exponent and the effective force influencing particles in SEBH spacetime.

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“…Geodesic observers in radial free fall, and the associated coordinates, were introduced in Schwarzschild spacetime long ago by Ronald Gautreau and Banesh Hoffmann [1] (see also [2][3][4][5][6][7][8][9][10] and Refs. [11][12][13][14][15][16][17] for recent interest). Gautreau used them also in Friedmann-Lemaître-Robertson-Walker (FLRW) cosmology [18,19].…”

Section: Introductionmentioning

confidence: 99%

Revisiting geodesic observers in cosmology

2021

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Geodesic observers in cosmology are revisited. The coordinates based on freely falling observers introduced by Gautreau in de Sitter and Einstein-de Sitter spaces (and, previously, by Gautreau and Hoffmann in Schwarzschild space) are extended to general FLRW universes. We identify situations in which the relation between geodesic and comoving coordinates can be expressed explicitly in terms of elementary functions. In general, geodesic coordinates in cosmology turn out to be rather cumbersome and limited to the region below the apparent horizon.

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Uniformly accelerated traveler in an FLRW universe

Cited by 4 publications

References 29 publications

A nested sequence of comoving Rindler frames, the corresponding vacuum states, and the local nature of acceleration temperature

A nested sequence of comoving Rindler frames, the corresponding vacuum states, and the local nature of acceleration temperature

Motion of Particles in Schwarzschild Black Hole Surrounded by an External Electrostatic Field

Revisiting geodesic observers in cosmology

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