The first part is devoted to the topic of quantum gravity and string theories, mainly concerned with recent authoritative results in the study of discretizations in classical and quantum general relativity, non-commutative theories of gravity, (2+1)-dimensional supergravity, and Berezin description of Kaehler quotients. The field to particle transition problem is also considered.The second part deals with cosmology and black holes. Here, cosmological, inflationary, and braneworld scenarios are investigated. Moreover, some scalar field models for the dark matter content of the universe as well as new models of protostellar collapse and fragmentation are presented. This part includes also a study of de Sitter/Anti-de Sitter phase transition for black holes, an understanding of hairy black holes and an improvement of the no-hair theorem proof for the Proca field.The third part is devoted to exact solutions, in particular classical and quantum cosmological solutions in scalar-tensor theories. Additionally, a discussion about conformally flat axisymmetric spacetimes and some considerations on accelerated expansion in scalar-tensor theories are presented.Experimental and some mixed topics are included in the final part. Among them is an experimental foundation of nonlocality and superluminal signal velocity in photonic tunneling, a proposal for testing the weak equivalence principle for charged particles in space. Moreover, a possible new type of skewon field linked to Maxwell theory is also presented, and an authoritative discussion at the interface of quantum and gravitational realms.

Preface. Contributing Authors. Part I: Quantum Gravity and String Theories. On the Berezin Description of Kähler Quotients; I. Carrillo-Ibarra, H. Garcia-Compeán. (2+1)-dimensional Supergravity; A. Macias. Non-Commutative Gravity and Quantum Cosmology; H. Garcia-Compeán, et al. Consistent Discretizations in Classical and Quantum General Relativity; R. Gambini, J. Pullin. The field-to-particle Transition Problem; J. Cortez, et al. Towards Non-Commutative Topological Gauge Theory of Gravity; H. Garcia-Compeán, et al. Part II: Cosmology and Black Holes. Improving the "No-Hair" Theorem for the Proca Field; E. Ayón-Beato. New Model Calculations of Protostellar Collapse and Fragmentation; J. Klapp, L. Di G. Sigalotti. Inflationary Cosmology and the Braneworld Scenario; J.E. Lidsey. Galaxies Formation from the Scalar Field Dark Matter model; T. Matos. Scalar soliton modelling dark matter halos; E.W. Mielke, et al. The de Sitter/Anti- de Sitter Black Holes phase transition? S. Nojiri, S.D. Odintsov. Understanding hairy Black Holes with the Isolated Horizon Formalism; D. Sudarsky. Sketching the inflaton potential; C.A. Terrero-Escalante. Part III: Exact Solutions. Cosmological solutions and their stability in scalar-tensor theories; J.L. Cervantes-Cota, et al. Accelerated Expansion Considerations in a Scalar-Tensor Cosmology; P. Chauvet-Alducin. On Conformally Flat Stationary Axisymmetric Spacetimes; C. Campuzano, A. Garcia. Quantum Cosmology in some extended Scalar-Tensor Theories; S. del Campo, et al. Deformation Quantization of sdiff(Sigma2) SDYM Equation; M. Przanowski, et al. Part IV: Experiments and Other Topics. Nonlocality and Superluminal Signal-Velocity in Photonic Tunneling; G. Nimtz, A. Haibel. At the Interface of Quantum and Gravitational Realms; D.V. Ahluwalia. Non-Newtonian gravity and coherence properties of light; A. Camacho. On a possible new type of a T odd skewon field linked to electromagnetism F.W. Hehl, et al. A Proposal for Testing the Weak Equivalence Principle for Charged Particles in Space; H. Dittus, C. Laemmerzahl. Massive (1/2,1/2) Bosons; D.V. Ahluwalia, M. Kirchbach. Inhomogeneous cosmologies with adiabatic evolution; R.A. Sussman, M. Ishak. Index.