- #1,961
- 24,775
- 792
http://arxiv.org/abs/1305.4790
Quantum-gravity inspired collapse with far observable bounce
Cosimo Bambi, Daniele Malafarina, Leonardo Modesto
(Submitted on 21 May 2013)
We consider general relativistic homogeneous gravitational collapses for dust and radiation. We show that replacing the density profile with an effective density justified by some quantum gravity framework leads to the avoidance of the final singularity. The effective density acts on the collapsing cloud by introducing an isotropic pressure, which is negligible at the beginning of the collapse and becomes negative and dominant in the strong field regime. For sufficiently small sources, the horizon never forms. For larger objects, the horizon forms, it disappears when the matter density approaches a critical value and gravity becomes very weak (asymptotic freedom regime), it forms again after the bounce as a consequence of the decrease in the matter density, and it eventually disappears when the density becomes too low and the matter is radiated away. In both cases, the bounce stage regulated by quantum gravity effects turns out to be visible to distant observers. The possibility of detecting radiation coming from the high density region of a collapsing astrophysical object in which classically there would be the creation of a singularity could open a new window to experimentally test theories of quantum gravity.
10 pages, 6 figures
http://arxiv.org/abs/1305.4702
Exploring Torus Universes in Causal Dynamical Triangulations
T.G. Budd, R. Loll
(Submitted on 21 May 2013)
Motivated by the search for new observables in nonperturbative quantum gravity, we consider Causal Dynamical Triangulations (CDT) in 2+1 dimensions with the spatial topology of a torus. This system is of particular interest, because one can study not only the global scale factor, but also global shape variables in the presence of arbitrary quantum fluctuations of the geometry. Our initial investigation focusses on the dynamics of the scale factor and uncovers a qualitatively new behaviour, which leads us to investigate a novel type of boundary conditions for the path integral. Comparing large-scale features of the emergent quantum geometry in numerical simulations with a classical minisuperspace formulation, we find partial agreement. By measuring the correlation matrix of volume fluctuations we succeed in reconstructing the effective action for the scale factor directly from the simulation data. Apart from setting the stage for the analysis of shape dynamics on the torus, the new set-up highlights the role of nontrivial boundaries and topology.
30 pages, 12 figures
brief mention:
http://arxiv.org/abs/1305.4685
Machian Classical and Semiclassical Emergent Time
Edward Anderson
(Submitted on 21 May 2013)
Classical and semiclassical schemes are presented that are timeless at the primary level and recover time from Mach's "time is to be abstracted from change" principle at the emergent secondary level. The semiclassical scheme is a Machian variant of the Semiclassical Approach to the Problem of Time in Quantum Gravity. The classical scheme is Barbour's, cast here explicitly as the classical precursor of the Semiclassical Approach...
22 pages and 1 figure.
Quantum-gravity inspired collapse with far observable bounce
Cosimo Bambi, Daniele Malafarina, Leonardo Modesto
(Submitted on 21 May 2013)
We consider general relativistic homogeneous gravitational collapses for dust and radiation. We show that replacing the density profile with an effective density justified by some quantum gravity framework leads to the avoidance of the final singularity. The effective density acts on the collapsing cloud by introducing an isotropic pressure, which is negligible at the beginning of the collapse and becomes negative and dominant in the strong field regime. For sufficiently small sources, the horizon never forms. For larger objects, the horizon forms, it disappears when the matter density approaches a critical value and gravity becomes very weak (asymptotic freedom regime), it forms again after the bounce as a consequence of the decrease in the matter density, and it eventually disappears when the density becomes too low and the matter is radiated away. In both cases, the bounce stage regulated by quantum gravity effects turns out to be visible to distant observers. The possibility of detecting radiation coming from the high density region of a collapsing astrophysical object in which classically there would be the creation of a singularity could open a new window to experimentally test theories of quantum gravity.
10 pages, 6 figures
http://arxiv.org/abs/1305.4702
Exploring Torus Universes in Causal Dynamical Triangulations
T.G. Budd, R. Loll
(Submitted on 21 May 2013)
Motivated by the search for new observables in nonperturbative quantum gravity, we consider Causal Dynamical Triangulations (CDT) in 2+1 dimensions with the spatial topology of a torus. This system is of particular interest, because one can study not only the global scale factor, but also global shape variables in the presence of arbitrary quantum fluctuations of the geometry. Our initial investigation focusses on the dynamics of the scale factor and uncovers a qualitatively new behaviour, which leads us to investigate a novel type of boundary conditions for the path integral. Comparing large-scale features of the emergent quantum geometry in numerical simulations with a classical minisuperspace formulation, we find partial agreement. By measuring the correlation matrix of volume fluctuations we succeed in reconstructing the effective action for the scale factor directly from the simulation data. Apart from setting the stage for the analysis of shape dynamics on the torus, the new set-up highlights the role of nontrivial boundaries and topology.
30 pages, 12 figures
brief mention:
http://arxiv.org/abs/1305.4685
Machian Classical and Semiclassical Emergent Time
Edward Anderson
(Submitted on 21 May 2013)
Classical and semiclassical schemes are presented that are timeless at the primary level and recover time from Mach's "time is to be abstracted from change" principle at the emergent secondary level. The semiclassical scheme is a Machian variant of the Semiclassical Approach to the Problem of Time in Quantum Gravity. The classical scheme is Barbour's, cast here explicitly as the classical precursor of the Semiclassical Approach...
22 pages and 1 figure.
Last edited: