Nonlocal (but also nonsingular) physics at the last stages of gravitational collapse - INSPIRE

DataBETA

Nonlocal (but also nonsingular) physics at the last stages of gravitational collapse

Anshul Saini
(
- SUNY, Buffalo
)
,
Dejan Stojkovic
(
- SUNY, Buffalo
)

Jan 23, 2014

8 pages

Published in:

Phys.Rev.D 89 (2014) 4, 044003

Published: Feb 5, 2014

e-Print:

1401.6182 [gr-qc]

DOI:

10.1103/PhysRevD.89.044003

View in:

ADS Abstract Service

reference search39 citations

Citations per year

Abstract: (APS)

We study the end stages of gravitational collapse of the thin shell of matter in ingoing Eddington-Finkelstein coordinates. We use the functional Schrodinger formalism to capture quantum effects in the near singularity limit. We find that the equations of motion which govern the behavior of the collapsing shell near the classical singularity become strongly nonlocal. This reinforces previous arguments that quantum gravity in the strong field regime might be nonlocal. We managed to solve the nonlocal equation of motion for the dust shell case, and found an explicit form of the wave function describing the collapsing shell. This wave function and the corresponding probability density are nonsingular at the origin, thus indicating that quantization should be able to rid gravity of singularities, just as was the case with the singular Coulomb potential.

Note:

Published in Phys. Rev. D 89, 044003 (2014)

04.70.Dy
04.60.-m
gravitation: collapse
field equations: nonlocal
potential: Coulomb
effect: quantum
quantum gravity
strong field

References(29)

Figures(0)

[1]

Observation of incipient black holes and the information loss problem

- Phys.Rev.D 76 (2007) 024005
•
e-Print:
- gr-qc/0609024
•
DOI:
- 10.1103/PhysRevD.76.024005

[2]

Quantum radiation from quantum gravitational collapse

- Phys.Lett.B 663 (2008) 107-110
•
e-Print:
- gr-qc/0701096
•
DOI:
- 10.1016/j.physletb.2008.04.004

[3]

Functional Schrodinger and BRST quantization of (1+1)-dimensional gravity

- Phys.Rev.D 54 (1996) 6213-6225
•
e-Print:
- hep-th/9607062
•
DOI:
- 10.1103/PhysRevD.54.6213

[4]

Quantum gravitational corrections to the functional Schrodinger equation

Claus Kiefer
(
- Zurich U.
)
,
Tejinder P. Singh
(
- ICTP, Trieste
)

- Phys.Rev.D 44 (1991) 1067-1076
•
DOI:
- 10.1103/PhysRevD.44.1067

[5]

Schrodinger Picture of Quantum Gravitational Collapse

Tanmay Vachaspati
(
- Princeton, Inst. Advanced Study and
- Case Western Reserve U., CERCA
)

- Class.Quant.Grav. 26 (2009) 215007
•
e-Print:
- 0711.0006
•
DOI:
- 10.1088/0264-9381/26/21/215007

[6]

Hawking radiation as seen by an infalling observer

Eric Greenwood
(
- SUNY, Buffalo
)
,
Dejan Stojkovic
(
- SUNY, Buffalo
)

- JHEP 09 (2009) 058
•
e-Print:
- 0806.0628
•
DOI:
- 10.1088/1126-6708/2009/09/058

[7]

Time dependent fluctuations and particle production in cosmological de Sitter and anti-de Sitter spaces

Eric Greenwood
(
- Case Western Reserve U., CERCA
)
,
De Chang Dai
(
- SUNY, Buffalo
)
,
Dejan Stojkovic
(
- SUNY, Buffalo
)

- Phys.Lett.B 692 (2010) 226-231
•
e-Print:
- 1008.0869
•
DOI:
- 10.1016/j.physletb.2010.07.056

[8]

Quantum gravitational collapse: Non-singularity and non-locality

Eric Greenwood
(
- SUNY, Buffalo
)
,
Dejan Stojkovic
(
- SUNY, Buffalo
)

- JHEP 06 (2008) 042
•
e-Print:
- 0802.4087
•
DOI:
- 10.1088/1126-6708/2008/06/042

[9]

Schrodinger formalism, black hole horizons and singularity behavior

John E. Wang
(
- Niagara U. and
- SUNY, Buffalo
)
,
Eric Greenwood
(
- SUNY, Buffalo
)
,
Dejan Stojkovic
(
- SUNY, Buffalo
)

- Phys.Rev.D 80 (2009) 124027
•
e-Print:
- 0906.3250
•
DOI:
- 10.1103/PhysRevD.80.124027

[10]

Time Evolution of Temperature and Entropy of Various Collapsing Domain Walls

Evan Halstead
(
- SUNY, Buffalo
)

- JCAP 08 (2013) 043
•
e-Print:
- 1106.2279
•
DOI:
- 10.1088/1475-7516/2013/08/043

[11]

Time Evolution of Entropy of a Charged Domain Wall during Gravitational Collapse

Eric Greenwood
(
- Case Western Reserve U., CERCA
)

e-Print:
- 1002.2433

[12]

Hawking Radiation from a Reisner-Nordstrom Domain Wall

Eric Greenwood
(
- SUNY, Buffalo
)

- JCAP 01 (2010) 002
•
e-Print:
- 0910.0024
•
DOI:
- 10.1088/1475-7516/2010/01/002

[13]

Classical and Quantum Equations of Motion for a BTZ Black String in AdS Space

- JHEP 02 (2010) 044
•
e-Print:
- 0912.1860
•
DOI:
- 10.1007/JHEP02(2010)044

[14]

Pre-Hawking Radiation from a Collapsing Shell

- JCAP 11 (2011) 024
•
e-Print:
- 1011.2219
•
DOI:
- 10.1088/1475-7516/2011/11/024

[15]

The Black hole final state

- JHEP 02 (2004) 008
•
e-Print:
- hep-th/0310281
•
DOI:
- 10.1088/1126-6708/2004/02/008

[16]

Black hole information, unitarity, and nonlocality

Steven B. Giddings
(
- UC, Santa Barbara
)

- Phys.Rev.D 74 (2006) 106005
•
e-Print:
- hep-th/0605196
•
DOI:
- 10.1103/PhysRevD.74.106005

[17]

(Non)perturbative gravity, nonlocality, and nice slices

Steven B. Giddings
(
- UC, Santa Barbara
)

- Phys.Rev.D 74 (2006) 106009
•
e-Print:
- hep-th/0606146
•
DOI:
- 10.1103/PhysRevD.74.106009

[18]

A Formal framework for a nonlocal generalization of Einstein's theory of gravitation

Friedrich W. Hehl
(
- Cologne U. and
- Missouri U.
)
,
Bahram Mashhoon
(
- Missouri U.
)

- Phys.Rev.D 79 (2009) 064028
•
e-Print:
- 0902.0560
•
DOI:
- 10.1103/PhysRevD.79.064028

[19]

Linearized Gravitational Waves in Nonlocal General Relativity

C. Chicone
(
- Missouri U., Math. Dept. and
- Missouri U.
)
,
B. Mashhoon
(
- Missouri U.
)

- Phys.Rev.D 87 (2013) 6, 064015
•
e-Print:
- 1210.3860
•
DOI:
- 10.1103/PhysRevD.87.064015

[20]

Nonlocal Gravity: Damping of Linearized Gravitational Waves

B. Mashhoon
(
- Missouri U.
)

- Class.Quant.Grav. 30 (2013) 155008
•
e-Print:
- 1304.1769
•
DOI:
- 10.1088/0264-9381/30/15/155008

[21]

A Nonsingular black hole

- Phys.Rev.D 61 (2000) 084011
•
e-Print:
- gr-qc/9804070
•
DOI:
- 10.1103/PhysRevD.61.084011

[22]

Non-singular black holes from gravity-matter-brane lagrangians

- Int.J.Mod.Phys.A 25 (2010) 1571-1596
•
e-Print:
- 0908.4195
•
DOI:
- 10.1142/S0217751X10049062

[23]

Gravitational Collapse of a Homogeneous Scalar Field in Deformed Phase Space

S.M.M. Rasouli
(
- Beira Interior U., Covilha
)
,
A.H. Ziaie
(
- Shahid Beheshti U.
)
,
J. Marto
(
- Beira Interior U., Covilha
)
,
P.V. Moniz
(
- Beira Interior U., Covilha and
- Lisbon, CENTRA
)

- Phys.Rev.D 89 (2014) 4, 044028
•
e-Print:
- 1309.6622
•
DOI:
- 10.1103/PhysRevD.89.044028

[24]

Reissner-Nordström black holes in extended Palatini theories

Gonzalo J. Olmo
(
- Valencia U. and
- Valencia U., IFIC
)
,
D. Rubiera-Garcia
(
- Oviedo U.
)

- Phys.Rev.D 86 (2012) 044014
•
e-Print:
- 1207.6004
•
DOI:
- 10.1103/PhysRevD.86.044014

[25]

Quantization of the Schwarzschild black hole: A Noether symmetry approach

Babak Vakili
(
- Islamic Azad U., Chalous
)

- Int.J.Theor.Phys. 51 (2012) 133-145
•
e-Print:
- 1102.1682
•
DOI:
- 10.1007/s10773-011-0887-7

1-25 of 29
1
2
25 / page