Milko Estrada

In this work we study a brane world model with variable tension which gives rise to four dimensional cosmologies. The brane worlds obtained correspond to E\"{o}tv\"{o}s branes whose (internal) geometry can be casted as either a four dimensional (A)dS$_{4}$ or a standard radiation period cosmology. The matter dominated period is discussed as well.

In this work it is studied a generalization of Randall Sundrum model. It is obtained new behaviors of {\it warp factor}, constraints in that the strong brane has tension of positive sign and, new relations between the coupling constants $\kappa_4$, $\kappa_5$ and between the Higgs and Planck masses.

We present a new five-dimensional rotating quintessence black hole solution. To obtain this, we employ the 5D version of the Janis-Newman algorithm, which incorporates the Hopf bifurcation. The variation of the quintessence parameter w q causes the geometry to transition from a regular rotating universe surrounded by a cosmological horizon to a sin...

This work is motivated by (i) the recently proposed relationship between gravitational tension (through the Kretschmann scalar) and energy density [1] to construct regular black hole (RBH) solutions in Pure Lovelock (PL) gravity, and (ii) the fact that, for PL, the inclusion of a negative cosmological constant Λ < 0 leads to the appearance of a pot...

This study examines the gravitational and thermodynamic properties of static, spherically symmetric black holes within cosmic voids-vast underdense regions of the universe. By deriving a novel solution based on a universal density profile for voids, we analyze its spacetime structure, which reveals two horizons: One of the black hole and the other...

We present a new family of regular black holes (RBH) in Pure Lovelock gravity, where the energy density is determined by the gravitational vacuum tension, which varies for each value of n in each Lovelock case. Speculatively, our model may capture quantum effects through gravitational tension. In this way, a hypothetical analogy is drawn between th...

We provide a methodology for decoupling the bulk gravitational field equations of braneworld black holes to suppress the bulk singularities. Thus, we provide a regular braneworld black hole setup. To achieve this, we apply a Minimal Geometric Deformation (MGD) with respect to a coupling constant α to the 4D Minkowski spacetime embedded in an extra...

In recent years, black hole (BH) solutions with an integrable singularity have garnered significant attention as alternatives to regular black holes (RBH). In these models, similarly to RBHs, an object would not undergo spaghettification when approaching the radial origin. Instead of the potentially unstable de Sitter core present in RBHs, an integ...

We provide a way for embedding a 4-dimensional geometry corresponding to the Simpson-Visser (SV) spacetime — which is capable of representing a traversable wormhole, a one-way wormhole, or a regular black hole — into a Randall-Sundrum setup. To achieve this, we linearly deform the bulk geometry and the bulk matter distribution concerning a coupling...

We provide a methodology for decoupling the bulk gravitational field equations of braneworld black holes to suppress the bulk singularities. To achieve this, we apply a linear Minimal Geometric Deformation (MGD) with respect to a coupling constant \( \alpha \) to the $4D$ Minkowski spacetime embedded in an extra dimension. This results in a gravita...

We present a new family of regular black holes (RBH) in Pure Lovelock gravity, where the energy density is determined by the gravitational vacuum tension, which varies for each value of n in each Lovelock case. A notable feature of our model is that the regular solution closely resembles the vacuum solution before reaching the event horizon. For od...

We extend the recent approach from reference [1] to obtain complete and analytic solutions (both brane and bulk) of a Simpson-Vaser (SV) geometry within a braneworld framework. The embedded geometry can represent a traversable wormhole (TWH), a one-way wormhole (OOWH), or a regular black hole (RBH). The resulting geometry is regular everywhere, eli...

In this work, we utilize the dynamic invariant method to obtain a solution for the time-dependent Schrödinger equation, aiming to explore the quantum theory of a p-form gauge field propagating in D-dimensional de Sitter spacetimes. Thus, we present a generalization, through the use of p-form gauge fields, of the quantization procedure for the scala...

Theoretically, it has been proposed that objects traveling radially along regular black holes (RBHs) would not be destroyed because of finite tidal forces and the absence of a singularity. However, the matter source allows the creation of an inner horizon linked to an unstable de Sitter core due to mass inflation instability. This inner horizon als...

In this work, the analysis of some new static black hole solutions of Lovelock gravity with nonconstant curvature transverse section is presented. It will be shown that the finiteness of the charges and the action principle rely on the existence of constraints on the geometry of the transverse sections. Finally, in this context, some new sound solu...

We provide a 5D generalization of the Hawking et al. black string in a Randall Sundrum setup. The embedded 4D geometry corresponds to the Simpson-Visser (SV) spacetime, which can represent a traversable wormhole, a one-way wormhole, or a regular black hole. To achieve this, we linearly deform both the bulk geometry and the bulk matter distribution...

We consider the impact of Generalized Uncertainty Principle (GUP) effects on the Dymnikova regular black hole. The minimum length scale introduced by the GUP modifies the energy density associated with the gravitational source, referred to as the Dymnikova vacuum, based on its analogy with the gravitational counterpart of the Schwinger effect. We p...

The inclusion of Localized sources of matter (LSM) in the energy-momentum tensor has been widely utilized in the construction of regular black holes (RBHs). In this work, we provide a recipe for generating new 4D and extra-dimensional non regular black hole solutions based on the incorporation of LSM. Our proposal, instead of forming a central de S...

In this work, the analysis of some new static black hole solutions of Lovelock gravity with nonconstant curvature transverse section is presented. It will be shown that the finiteness of the charges and the action principle rely on the existence of constraints on the geometry of the transverse sections. Finally, in this context, some new sound solu...

We consider the impact of Generalized Uncertainty Principle (GUP) effects on the Dymnikova regular black hole. The minimum length scale introduced by the GUP modifies the energy density associated with the gravitational source, referred to as the Dymnikova vacuum, based on its analogy with the gravitational counterpart of the Schwinger effect. We p...

We provide a new regular black hole solution (RBH) in Einstein Gauss Bonnet (EGB) gravity with presence of localized sources of matter in the energy momentum tensor. We determinate the necessary constraints in order that the solution to be regular. Although we use a specific form for the energy density as test of prove, these constraints could serv...

We obtain new regular black hole solutions for an action in 2+1 dimensions with a bilocal Ricci scalar and a negative cosmological constant. Besides their connection to the cosmological constant, these solutions depend on a fundamental length due to their nonlocal nature. The effective profile densities that result from the nonlocal geometries have...

In this paper, we obtain new d -dimensional and asymptotically flat wormhole solutions by assuming a specific form of the energy density distribution. This is addressed by considering the generalization of the so-called Dymnikova model, originally studied in the context of regular black holes. In this way, we find constraints for the involved param...

This paper investigates a new class of regular black hole solutions in (2 + 1)-dimensions by introducing a generalization of the quasi-localized matter model proposed by Estrada and Tello-Ortiz. Initially, we try to physically interpret the matter source encoded in the energy-momentum tensor as originating from nonlinear electrodynamics. We show, h...

This work is devoted to provide a way of representing 4D spherically symmetric and static compact stellar configurations into a 5D space time, using the black string framework. We write the four and five dimensional line elements and the four and five dimensional energy momentum tensor such that the four and five dimensional quantities are related...

In this work, we introduce an extension of the study of the first law of thermodynamics of black holes based on the geometry of the extended phase space for AdS Lovelock gravities, which includes changes in scales. As expected, the result obtained coincides with the previously known four-dimensional case. For higher dimensions, the result is the ri...

We provide a way of representing a four dimensional regular black hole geometry at the black string style. We enunciate a list of constrains in order to that the complete five dimensional geometry to be regular. Following these constraints were constructed both the four and the five dimensional geometries. The assumptions used to solve the equation...

We provide an extension of the Gravitational Decoupling (algorithm) for the Lovelock theory with Unique Vacuum (LUV), which represents a simple way to solve the equations of motion. Due to the application of this algorithm, the energy of the system splits in the energy of the seed solution and the energy of each quasi-LUV sector. Under certain assu...

We provide a new regular black hole solution in dimensions with the presence of matter fields in the energy momentum tensor. The inclusion of our proposed energy density plus a negative cosmological constant allows that the solution can have both flat as de Sitter or Anti-de Sitter core. This latter is a proper characteristic of our solution, becau...

We provide a way of decoupling the first law of thermodynamics in two sectors : the standard first law of thermodynamics and the quasi first law of thermodynamics. It is showed that both sectors share the same thermodynamics volume and the same entropy. However, the total thermodynamics pressure, the total temperature and the total local energy cor...

En esta tesis se estudian cuatro problemas en teorías de Lovelock que poseen una particular estructura de estados basales. Estas teorías corresponden a la gravedad de Pure Lovelock y/o a teorías de Lovelock con estado basal $n$ veces degenerado. Los dos primeros problemas son estudiados para ambas teorías y corresponden al estudio de nuevas soluc...

The original version of this article unfortunately contains a mistake.

In this work the chemistry of asymptotically AdS black hole, for the charged and uncharged solutions of Pure Lovelock gravity, is discussed. The charged case behaves as a Van der Waals fluid and whose first order phase transitions, between small stable/large stable black holes, are analogous to the liquid/gas phase transitions as in AdS black hole...

In this work it is introduced an extension of the study of the first law of thermodynamics of black holes based on the geometry of the extended phase space for AdS Lovelock gravities which includes changes of scales. As expected, the result obtained coincides with the previously known four dimensional case. For higher dimensions, the result is the...

We provide an algorithm that shows how to decouple gravitational sources in pure Lovelock gravity. This method allows to obtain several new and known analytic solutions of physical interest in scenarios with extra dimensions and with presence of higher curvature terms. Furthermore, using our method, it is shown that applying the minimal geometric d...

In this work it is shown that the thermodynamics of regular black holes with a cosmological horizon, which are solutions of Lovelock gravity, determines that they must evolve either into a state where the black hole and cosmological horizons have reached thermal equilibrium or into an extreme black hole geometry where the black hole and cosmologica...

In this work two new families of non-singular or regular black hole solutions are displayed. These black holes behave as de Sitter space near its center and have a well defined AdS asymptotic region for negative cosmological constant. These solutions are constructed on a general ground through the introduction of a finite density of mass/energy. Th...

We provided the higher dimensional extension of the gravitational decoupling method. We will show that our extension can serve to obtain new analytic and well behaved solutions that could represent higher dimensional stellar distributions. Our presented method could have more gravitational applications for be development in elsewhere as for example...

This work is focused in the study of analytic anisotropic solutions to Einstein's field equations, describing spherically symmetric and static configurations by way of the gravitational decoupling through the method of Minimal Geometric Deformation (MGD). For this we apply MGD to Heintzmann's solution obtaining two new analytic and well behaved ani...

In this work it is studied a generalization of Randall Sundrum model. It is obtained new behaviors of {\it warp factor}, constraints in that the strong brane has tension of positive sign and, new relations between the coupling constants κ4, κ5 and between the Higgs and Planck masses.