Gravity Theories, Thermodynamic Properties and Irreversibility In this work we study the thermody... more Gravity Theories, Thermodynamic Properties and Irreversibility In this work we study the thermodynamical properties of the black hole solutions to Gauss-Bonnet gravity, which includes quadratic terms in the curvature, for the vacuum case and in the coupled case to Non-linear electrodynamics theories, such as Hoffmann-Infeld and Born-Infeld. The obtained solutions have different characteristics to the solutions of general relativity. We show that the behavior of the specific heat indicates the existence of a transition point in the vacuum solutions. We also discuss the similarities existing between this five-dimensional geometry and the three-dimensional black hole. Like BTZ black hole, the Gauss-Bonnet black hole has an infinite lifetime. In the charged case, some of these solutions present a double peak behavior. This behavior leads to the existence of a plateau in the evaporation rate, which implies that black holes of intermediate scales turn out to be unstable. The scale is given by the Gauss-Bonnet parameters and the non-linear coupling to electrodynamics. We verify that the obtained thermodynamical results are consistent with the generalized laws of black hole thermodynamics for any covariant theory of gravity, such as Gauss-Bonnet. In particular, we obtain the correction to the black hole entropy formula of general relativity that states that the entropy is a quarter of the event horizon area. On the other hand, because these theories are time reversal invariant, they contain time symmetric solutions, forming part of a long list of examples where this occurs. We speculate on a way to select one of these solutions, in order to have a time arrow direction defined on the basis of the theory itself and its global properties.
We show exact solutions of the Born-Infeld theory for electromagnetic plane waves propagating in ... more We show exact solutions of the Born-Infeld theory for electromagnetic plane waves propagating in the presence of static background fields. The non-linear character of the Born-Infeld equations generates an interaction between the background and the wave that changes the speed of propagation and adds a longitudinal component to the wave. As a consequence, in a magnetic background the ray direction differs from the propagation direction-a behavior resembling the one of a wave in an anisotropic medium-. This feature could open up a way to experimental tests of the Born-Infeld theory.
Journal of Cosmology and Astroparticle Physics, 2008
Born-Infeld electromagnetic waves interacting with a static magnetic background are studied in an... more Born-Infeld electromagnetic waves interacting with a static magnetic background are studied in an expanding universe. The non-linear character of Born-Infeld electrodynamics modifies the relation between the energy flux and the distance to the source, which gains a new dependence on the redshift that is governed by the background field. We compute the luminosity distance as a function of the redshift and compare with Maxwellian curves for supernovae type Ia.
Five-dimensional black holes are studied in Lovelock gravity coupled to Hoffmann-Infeld nonlinear... more Five-dimensional black holes are studied in Lovelock gravity coupled to Hoffmann-Infeld nonlinear electrodynamics. It is shown that some of these solutions present a double peak behavior of the temperature as a function of the horizon radius. This feature suggests that the evaporation process, though drastic for a period, leads to an eternal black hole remnant. In fact, the form of the caloric curve corresponds to the existence of a plateau in the evaporation rate, which implies that black holes of intermediate scales turn out to be unstable. The geometrical aspects, such as the absence of conical singularity, the structure of horizons, etc. are also discussed. In particular, solutions that are asymptotically AdS arise for special choices of the parameters, corresponding to charged solutions of five-dimensional Chern-Simons gravity.
In several previous papers we have argued for a global and non-entropic approach to the problem o... more In several previous papers we have argued for a global and non-entropic approach to the problem of the arrow of time, according to which the "arrow" is only a metaphorical way of expressing the geometrical time-asymmetry of the universe. We have also shown that, under definite conditions, this global time-asymmetry can be transferred to local contexts as an energy flow that points to the same temporal direction all over the spacetime. The aim of this paper is to complete the global and non-entropic program by showing that our approach is able to account for irreversible local phenomena, which have been traditionally considered as the physical origin of the arrow of time.
Gravity Theories, Thermodynamic Properties and Irreversibility In this work we study the thermody... more Gravity Theories, Thermodynamic Properties and Irreversibility In this work we study the thermodynamical properties of the black hole solutions to Gauss-Bonnet gravity, which includes quadratic terms in the curvature, for the vacuum case and in the coupled case to Non-linear electrodynamics theories, such as Hoffmann-Infeld and Born-Infeld. The obtained solutions have different characteristics to the solutions of general relativity. We show that the behavior of the specific heat indicates the existence of a transition point in the vacuum solutions. We also discuss the similarities existing between this five-dimensional geometry and the three-dimensional black hole. Like BTZ black hole, the Gauss-Bonnet black hole has an infinite lifetime. In the charged case, some of these solutions present a double peak behavior. This behavior leads to the existence of a plateau in the evaporation rate, which implies that black holes of intermediate scales turn out to be unstable. The scale is given by the Gauss-Bonnet parameters and the non-linear coupling to electrodynamics. We verify that the obtained thermodynamical results are consistent with the generalized laws of black hole thermodynamics for any covariant theory of gravity, such as Gauss-Bonnet. In particular, we obtain the correction to the black hole entropy formula of general relativity that states that the entropy is a quarter of the event horizon area. On the other hand, because these theories are time reversal invariant, they contain time symmetric solutions, forming part of a long list of examples where this occurs. We speculate on a way to select one of these solutions, in order to have a time arrow direction defined on the basis of the theory itself and its global properties.
We show exact solutions of the Born-Infeld theory for electromagnetic plane waves propagating in ... more We show exact solutions of the Born-Infeld theory for electromagnetic plane waves propagating in the presence of static background fields. The non-linear character of the Born-Infeld equations generates an interaction between the background and the wave that changes the speed of propagation and adds a longitudinal component to the wave. As a consequence, in a magnetic background the ray direction differs from the propagation direction-a behavior resembling the one of a wave in an anisotropic medium-. This feature could open up a way to experimental tests of the Born-Infeld theory.
Journal of Cosmology and Astroparticle Physics, 2008
Born-Infeld electromagnetic waves interacting with a static magnetic background are studied in an... more Born-Infeld electromagnetic waves interacting with a static magnetic background are studied in an expanding universe. The non-linear character of Born-Infeld electrodynamics modifies the relation between the energy flux and the distance to the source, which gains a new dependence on the redshift that is governed by the background field. We compute the luminosity distance as a function of the redshift and compare with Maxwellian curves for supernovae type Ia.
Five-dimensional black holes are studied in Lovelock gravity coupled to Hoffmann-Infeld nonlinear... more Five-dimensional black holes are studied in Lovelock gravity coupled to Hoffmann-Infeld nonlinear electrodynamics. It is shown that some of these solutions present a double peak behavior of the temperature as a function of the horizon radius. This feature suggests that the evaporation process, though drastic for a period, leads to an eternal black hole remnant. In fact, the form of the caloric curve corresponds to the existence of a plateau in the evaporation rate, which implies that black holes of intermediate scales turn out to be unstable. The geometrical aspects, such as the absence of conical singularity, the structure of horizons, etc. are also discussed. In particular, solutions that are asymptotically AdS arise for special choices of the parameters, corresponding to charged solutions of five-dimensional Chern-Simons gravity.
In several previous papers we have argued for a global and non-entropic approach to the problem o... more In several previous papers we have argued for a global and non-entropic approach to the problem of the arrow of time, according to which the "arrow" is only a metaphorical way of expressing the geometrical time-asymmetry of the universe. We have also shown that, under definite conditions, this global time-asymmetry can be transferred to local contexts as an energy flow that points to the same temporal direction all over the spacetime. The aim of this paper is to complete the global and non-entropic program by showing that our approach is able to account for irreversible local phenomena, which have been traditionally considered as the physical origin of the arrow of time.
Uploads
Papers by Matias Aiello