Entropy generation in curved spaces as a diagnostic for particle creation

This paper defines a time-dependent entropy S(t) for a quantum field in a background cosmological spacetime, changes in which are connected directly with changes in the average particle number 〈n_p(t)〉 in each mode. Here the existence of an arrow of time, ds/dt > 0 and d〈n_p〉/dt>0, would not reflect the fact that the Universe is expanding, but, instead, the fact that the Universe started from a special state characterized either (a) very nearly by eigenstates of number, such as the vacuum, or (b) more generally, by very nearly random phases.     

Analogue of cosmological particle creation in an ion trap

We study phonons in a dynamical chain of ions confined by a trap with a time-dependent (axial) potential strength and demonstrate that they behave in the same way as quantum fields in an expanding or contracting Universe. Based on this analogy, we present a scheme for the detection of the analogue of cosmological particle creation which should be feasible with present day technology. In order to test the quantum nature of the particle creation mechanism and to distinguish it from classical effects such as heating, we propose to measure the two-phonon amplitude via the 2nd red sideband transition and to compare it with the one-phonon amplitude (1st red sideband).     

Intrinsic measures of field entropy in cosmological particle creation

Using the properties of quantum parametric oscillators, two quantities are identified which increase monotonically in time in the process of parametric amplification. The use of these quantities as possible measures of entropy generation in vacuum cosmological particle creation is suggested. These quantities which are of complementary nature are both related to the number of particles spontaneously created.     

Exact cosmological solution with particle creation in JBD theory

Exact solutions are sought by taking the generated particles of spin 1/2 (according to the creation rate of Schäfer and Dehnen [1]) as matter sources of the Cosmological equations of JBD theory. There exists one exact solution for which the gravitational constant decreases linearly with time and the mass of the universe increases proportionally to the square of its age (Dirac's hypotheses). The radius of curvature increases linearly with time while the density decreases inversely with it. It is found that for an age of the universe 10^–22 sec only two particles have populated the universe. This is assumed to be the initial state of the model. The calculated present particle number and their density are in agreement with the observed data. This model implies that all present matter (excluding the two initial particles) has been created by the expansion of the universe.Supported in part by CONACYT grant No. 11358.     

Particle creation in a cosmological anisotropic universe

We analyze the phenomenon of particle creation in a cosmological anisotropic universe. We compute, via the Bogoliubov transformations, the density number of scalar and spin-1/2 particles created. We obtain that they are respectively described by Bose-Einstein and Fermi-Dirac distributions.     

Neutralization of the cosmological constant by membrane creation

The quantum creation of closed membranes by totally antisymmetric tensor and gravitational fields is considered in arbitrary space-time dimension. The creation event is described by instanton tunneling. As membranes are produced, the energy density associated with the antisymmetric tensor fielld decreases, reducing the effective value of the cosmological constant. For a wide range of parameters and initial conditions, this process will naturally stop as soon as the cosmological constant is near zero, even if the energy remaining in the antisymmetric tensor field is large. Among the instantons obtained, some are interpreted as representing a topology change, in which an open space spontaneously compactifies; however, the quantum probability for these processes vanishes.     

Nonsingular cosmological model with matter creation and entropy production

The study of nonsingular cosmological models [4] based on a theory of gravitation in flat space-times [1] is continued. For a radiation free universe the solution of the model is given analytically. Under the assumption that entropy cannot decrease the cosmological constant must be zero. At the beginning of the universe all energy is in the form of gravitation. The universe contracts. Matter and radiation are created out of gravitational energy and entropy is produced. The contraction stops and then the universe expands without limit. The creation of matter continues producing entropy but today the production of matter and entropy is negligible. The density parameter ₀ 1, i.e. there must be missing mass in the universe. The flatness and the homogeneity problem are solved.     

Magnetic field generation from cosmological perturbations

In this Letter, we discuss the generation of magnetic field from cosmological perturbations. We consider the evolution of three component plasma (electron, proton, and photon) evaluating the collision term between electrons and photons up to the second order. The collision term is shown to induce electric current, which then generates magnetic field. There are three contributions, two of which can be evaluated from the first-order quantities, while the other one is fluid vorticity, which is purely second order. We estimate the magnitudes of the former contributions and show that the amplitude of the produced magnetic field is about approximately 10(-19) G at 10 Mpc comoving scale at the decoupling. Compared to astrophysical and inflationary mechanisms for seed-field generation, our study suffers from much less ambiguities concerning unknown physics and/or processes.     

On the dynamics of cosmological particle production

The time evolution of the particle number density and spectrum of massive scalar particles, coupled conformally to a classical Friedman-Robertson-Walker gravitational field is followed numerically. Not only for a pure radiation cosmos, but also for one with an inflationary interlude, the density of particles produced remains constant in time. This results in a constant equivalent temperature scale up to the Compton time of the massive particles, and opens the possibility that during a sufficiently long inflation the energy density of the particles produced can exceed that of the radiation background.     

Construction of an elementary particle theory in cosmological spaces

Using the system of enclosure, a four-dimensional curved (conformai) space is inserted in a six-dimensional plane space, where it occupies some surface. Based upon the symmetry of the surface indicated, the equation of the scalar field on the surface is written. Thereupon, using the enclosure formula, the equation obtained is transcribed into the original four-dimensional space. It is shown that the well-known scalar field equation obtained by other authors is a particular case of the equation obtained in this study.Translated from Izvestiya Vysshikh Uchebnykh Zavedenii Fizika, No. 10, pp. 79–83, October, 1971.The authors express their gratitude to Professor D. Ivanenko for his discussion of the question.     

Gravitationally induced particle creation in aq-scalar field

Tom and Goodison [5] have shown that for generic values ofq, gravitationally induced particle creation is impossible in the ordinary vacuum state. Here we consider the evolution of aq-deformed scalar field in a curved spacetime and observe that if the field is either represented by a coherent state or a squeezed state, there is a change in the energy density of the field indicating the possibility of particle creation.     

Particle creation in a f(R) theory with cosmological constraints

The novel idea that spatial expansion of our universe can be regarded as the consequence of the emergence of space was proposed by Padmanabhan. By using of the basic law governing the emergence, which Padmanabhan called holographic equipartition, he also arrives at the Friedmann equation in a flat universe. When generalized to other gravity theories, the holographic equipartition need to be generalized with an expression of $f(\Delta N,N_{sur})$ . In this paper, we give general expressions of $f(\Delta N,N_{sur})$ for generalized holographic equipartition which can be used to derive the Friedmann equations of the Friedmann–Robertson–Walker universe with any spatial curvature in higher ( $\hbox {n}+1$ )-dimensional Einstein gravity, Gauss–Bonnet gravity and more general Lovelock gravity. The results support the viability of the perspective of holographic equipartition.     

An observational test of cosmological particle production theories

It is shown that, although cosmological particle production is too small to be seen directly, the production of particles which decay through the emission of photons leads to an isotropic X-ray/gamma-ray background which is observable. An approximate expression for part of the differential photon flux spectrum is derived. This expression is evaluated for several examples and compared to observations.     

On particle creation by black holes

Hawking's analysis of particle creation by black holes is extended by explicitly obtaining the expression for the quantum mechanical state vector ψ which results from particle creation starting from the vacuum during gravitational collapse. (Hawking calculated only the expected number of particles in each mode for this state.) We first discuss the quantum field theory of a Hermitian scalar field in an external potential or in a curved but asymptotically flat spacetime with no horizon present. In agreement with previously known results, we find that we are led to a unique quantum scattering theory which is completely well behaved mathematically provided a certain condition is satisfied by the operators which describe the scattering of classical positive frequency solutions. In terms of these operators we derive the expression for the state vector describing particle creation from the vacuum, and we prove that S-matrix is unitary. Making the necessary modification for the case when a horizon is present, we apply this theory for a massless Hermitian scalar field to get the state vector describing the steady state emission at late times for particle creation during gravitational collapse to a Schwarzschild black hole. There is some ambiguity in the theory in this case arising from freedom involved in defining what one means by “positive frequency” at the future event horizon. However, it is proven that the expression for the density matrix formed from ψ describing the emission of particles to infinity is independent of this choice, and thus unambiguous predictions for the results of all possible measurements at infinity are obtained. We find that the state vector describing particle creation from the vacuum decomposes into a simple product of state vectors for each individual mode. The density matrix describing emission of particles to infinity by this particle creation process is found to be identical to that of black body emission. Thus, black hole emission agrees in complete detail (i.e., not only in expected number of particles) with black body emission.     

Smoothing regularization and particle creation in curved spacetime

A regularization procedure is given for the stress tensor of a quantized field in a background metric. This regularization is shown to be equivalent to a covariant renormalization of constants in the generalized Einstein equations. An example of the massive spinor field in Robertson-Walker universe is considered. Regular values of the stress tensor near the cosmological singularity are found.     

Covariant treatment of particle creation in curved space-time

We propose a particle definition in external electromagnetic and gravitational fields, using two Fock spaces (‘in-and outgoing’), with the features: i) manifest gauge covariance, ii) coincidence of the vacuum persistence amplitude with that of Schwinger's formalism, iii) asymptotically quasiclassical modes.     

Geodesic deviation and particle creation in curved spacetimes

A quantum mechanical picture, relating accelerated geodesic deviation to creation of massive particles via quantum tunneling in curved background spacetimes, is presented. The effect is analogous to pair production by an electric field and leads naturally to production of massive particles in de Sitter and superluminal FRW spacetimes. The probability of particle production in de Sitter space per unit volume and time is computed in a leading semiclassical approximation and shown to coincide with the previously obtained expression.     

Simulation studies of the magnetic field generation in cosmological plasmas

We present computer simulation studies of the magnetic field generation by colliding electron clouds in cosmic plasmas. Simulation results exhibit purely growing magnetic fields, generation of electrostatic waves and subsequent electron energization in different regimes. The linear growth and saturated magnetic fields in our simulations are in good agreement with recent theoretical predictions of the Weibel instability induced magnetic fields in cosmological plasmas.