Analysis of inflationary cosmological models in gauge theories of gravitation

Inflationary homogeneous isotropic cosmological models filled by scalar fields and ultrarelativistic matter are examined in the framework of gauge theories of gravitation. By using quadratic scalar field potential numerical analysis of flat, open and closed models is curried out. Properties of cosmological models are investigated in dependence on indefinite parameter of cosmological equations and initial conditions at a bounce. Fulfilled analysis demonstrates regular character of all cosmological models.Comment: LaTeX2e, iopart class file, 12 pages, 19 figure

Rotating Black Holes in Metric-Affine Gravity

Within the framework of metric-affine gravity (MAG, metric and an independent linear connection constitute spacetime), we find, for a specific gravitational Lagrangian and by using {\it prolongation} techniques, a stationary axially symmetric exact solution of the vacuum field equations. This black hole solution embodies a Kerr-deSitter metric and the post-Riemannian structures of torsion and nonmetricity. The solution is characterized by mass, angular momentum, and shear charge, the latter of which is a measure for violating Lorentz invariance.Comment: 32 pages latex, 3 table

Torsion and accelerating expansion of the universe in quadratic gravitation

Several exact cosmological solutions of a metric-affine theory of gravity with two torsion functions are presented. These solutions give a essentially different explanation from the one in most of previous works to the cause of the accelerating cosmological expansion and the origin of the torsion of the spacetime. These solutions can be divided into two classes. The solutions in the first class define the critical points of a dynamical system representing an asymptotically stable de Sitter spacetime. The solutions in the second class have exact analytic expressions which have never been found in the literature. The acceleration equation of the universe in general relativity is only a special case of them. These solutions indicate that even in vacuum the spacetime can be endowed with torsion, which means that the torsion of the spacetime has an intrinsic nature and a geometric origin. In these solutions the acceleration of the cosmological expansion is due to either the scalar torsion or the pseudoscalar torsion function. Neither a cosmological constant nor dark energy is needed. It is the torsion of the spacetime that causes the accelerating expansion of the universe in vacuum. All the effects of the inflation, the acceleration and the phase transformation from deceleration to acceleration can be explained by these solutions. Furthermore, the energy and pressure of the matter without spin can produce the torsion of the spacetime and make the expansion of the universe decelerate as well as accelerate.Comment: 20 pages. arXiv admin note: text overlap with gr-qc/0604006, arXiv:1110.344

Torsion nonminimally coupled to the electromagnetic field and birefringence

In conventional Maxwell--Lorentz electrodynamics, the propagation of light is influenced by the metric, not, however, by the possible presence of a torsion T. Still the light can feel torsion if the latter is coupled nonminimally to the electromagnetic field F by means of a supplementary Lagrangian of the type l^2 T^2 F^2 (l = coupling constant). Recently Preuss suggested a specific nonminimal term of this nature. We evaluate the spacetime relation of Preuss in the background of a general O(3)-symmetric torsion field and prove by specifying the optical metric of spacetime that this can yield birefringence in vacuum. Moreover, we show that the nonminimally coupled homogeneous and isotropic torsion field in a Friedmann cosmos affects the speed of light.Comment: Revtex, 12 pages, no figure

Resolution of dark matter problem in f(T) gravity

In this paper, we attempt to resolve the dark matter problem in f(T) gravity. Specifically, from our model we successfully obtain the flat rotation curves of galaxies containing dark matter. Further, we obtain the density profile of dark matter in galaxies. Comparison of our analytical results shows that our torsion-based toy model for dark matter is in good agreement with empirical data-based models. It shows that we can address the dark matter as an effect of torsion of the space.Comment: 14 pages, 3 figure

Eradication of Krebs-2 primary ascites via a single-injection regimen of cyclophosphamide and double-stranded DNA

Previously, we reported on the development of a therapeutic regimen allowing eradication of primary murine Krebs-2 ascites transplants. This protocol involved multiple injections of dsDNA preparations administered during the NER and HR phases of repair of interstrand DNA cross-links induced by prior cyclophosphamide treatments. Mice treated under this protocol frequently developed secondary ascites, which indicated that some tumor-inducing cancer stem cells could survive the treatment and caused relapse. Further, we observed that animals receiving multiple dsDNA injections developed pronounced systemic inflammatory response. This prompted us to develop a more straightforward treatment regimen based on the synergistic activity of cyclophosphamide and dsDNA preparations, which would allow complete eradication of established primary Krebs-2 ascites and also be less toxic for the treated animals. This protocol relies on a precisely timed single injection of dsDNA during the NER/HR transition period of each repair cycle. Under this protocol, 8-day remission of Krebs-2 engrafted mice was achieved, which was similar to the results of the multiple-injection treatment schedule. We observed an increase in the average life span of Krebs-2- transplanted mice on a single-injection regimen, which was consistent with reduced toxicity of such treatment

Analysis of different therapeutic schemes combining cyclophosphamide and doublestranded DNA preparation for eradication of Krebs-2 primary ascites in mice

In the present paper, we report on the series of experiments where multiple regimens of CP and dsDNA injections were tested for targeting the ascites form of murine Krebs-2 cancer in situ. We show that combining CP with cross-linked human and salmon dsDNA results in a synergistic toxicity for ascites-bearing mice, an observation supported by the histopathology analysis of organs and tissues of experimental animals. In contrast, using a composite mixture of native and cross-linked human and salmon DNA after CP injections leads to a significant increase in average lifespan of the treated mice. Further, we demonstrate that repeated rounds of CP+dsDNA injections result in dramatic anticancer effect. The timing of injections is chosen so that they target the cells that were insensitive to the previous treatments as they were in the G2/M phase. 3-4 rounds of injections are needed to eliminate the subpopulation of tumor-initiating cancer stem cells. Our experiments identified the regimen when complete resorption of the primary Krebs-2 ascites occurs in all of the treated animals, followed by a remarkable remission period lasting 7-9 days. Yet, this regimen does not prevent secondary site metastases (either solid or ascites form) from developing, which is likely caused by the migration of ascites cells into adjacent tissues or by incomplete eradication of cancer stem cells. To address these and other questions, we expanded the study and performed histopathology analysis, which indicated that secondary metastases is not the only cause of death. In fact, many animals displayed unfolding systemic inflammatory reaction which was culminated by multiple organ failure. Thus, we developed the concept for treating ascites form of Krebs-2 cancer, which allows elimination of the primary ascites

Development of the therapeutic regimen based on the synergistic activity of cyclophosphamide and double-stranded DNA preparation which results in complete cure of mice engrafted with Krebs-2 ascites

Cumulative evidence obtained in this series of studies has guided the logic behind the development of a novel composite dsDNA-based preparation whose therapeutic application according to the specific regimen completely cures the mice engrafted with otherwise lethal Krebs-2 ascites. The likely mechanism involves elimination of TAMRA+ tumor-inducing stem cells (TISCs) from Krebs-2 tumors. We performed quantitative analysis of TISC dynamics in Krebs-2  ascites following treatment with the cytostatic drug cyclophosphamide (CP) and untreated control cells. In intact ascites, TISC percentage oscillates around a certain value. Following CP treatment and massive apoptosis of committed cancer cell subpopulation, we observed relative increase in TISC percentage, which is consistent with reduced susceptibility of TISCs to CP. Nonetheless, this treatment apparently synchronizes TISCs in a cell cycle phase when they become sensitive to further drug treatments. We describe the regimen of synergistic DNA + CP activity against Krebs-2 ascites. This protocol results in a complete cure of 50 % of Krebs-2 engrafted mice and involves three metronomic injections of CP exactly at the timepoints when repair cycles are about to finish combined with dsDNA injections 18 hours following each CP injection. The “final shot” uses CP + DNA treatment, which targets the surviving yet highly synchronized and therefore treatmentsensitive cells. The first three CP/DNA injections appear to arrest Krebs-2 cells in late S-G2-M phase and result in their simultaneous progression into G1-S phase. The timing of the “final shot” is crucial for the successful treatment, which eradicates tumorigenic cell subpopulation from Krebs-2 ascites. Additionally, we quantified the changes in several biochemical, cellular and morphopathological parameters in mice throughout different treatment stages

Conservation of energy-momentum of matter as the basis for the gauge theory of gravitation

According to Yang \& Mills (1954), a {\it conserved} current and a related rigid (`global') symmetry lie at the foundations of gauge theory. When the rigid symmetry is extended to a {\it local} one, a so-called gauge symmetry, a new interaction emerges as gauge potential $A$; its field strength is $F\sim {\rm curl} A$. In gravity, the conservation of the energy-momentum current of matter and the rigid translation symmetry in the Minkowski space of special relativity lie at the foundations of a gravitational gauge theory. If the translation invariance is made local, a gravitational potential $\vartheta$ arises together with its field strength $T\sim {\rm curl}\,\vartheta$. Thereby the Minkowski space deforms into a Weitzenb\"ock space with nonvanishing torsion $T$ but vanishing curvature. The corresponding theory is reviewed and its equivalence to general relativity pointed out. Since translations form a subgroup of the Poincar\'e group, the group of motion of special relativity, one ought to straightforwardly extend the gauging of the translations to the gauging of full Poincar\'e group thereby also including the conservation law of the {\it angular momentum} current. The emerging Poincar\'e gauge (theory of) gravity, starting from the viable Einstein-Cartan theory of 1961, will be shortly reviewed and its prospects for further developments assessed.Comment: 46 pages, 4 figures, minor corrections, references added, contribution to "One Hundred Years of Gauge Theory" edited by S. De Bianchi and C. Kiefe