524 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
13 papers
Bianchi type I cosmological models in Eddington-inspired Born-Infeld gravity
Tiberiu Harko, Francisco S. N. Lobo, M. K. Mak
We consider the dynamics of a barotropic cosmological fluid in an anisotropic, Bianchi type I space-time in Eddington-inspired Born-Infeld (EiBI) gravity. By assuming an isotropic…
Travelling wave solutions of the reaction-diffusion mathematical model of glioblastoma growth: An Abel equation based approach
Tiberiu Harko, M. K. Mak
We consider quasi-stationary (travelling wave type) solutions to a nonlinear reaction-diffusion equation with arbitrary, autonomous coefficients, describing the evolution of gliobl…
Exact analytical solutions of the Susceptible-Infected-Recovered (SIR) epidemic model and of the SIR model with equal death and birth rates
Tiberiu Harko, Francisco S. N. Lobo, M. K. Mak
In this paper, the exact analytical solution of the Susceptible-Infected-Recovered (SIR) epidemic model is obtained in a parametric form. By using the exact solution we investigate…
Wormhole geometries supported by quark matter at ultra-high densities
Tiberiu Harko, Francisco S. N. Lobo, M. K. Mak
A fundamental ingredient in wormhole physics is the presence of exotic matter, which involves the violation of the null energy condition. In this context, we investigate the possib…
A Riccati equation based approach to isotropic scalar field cosmologies
Tiberiu Harko, Francisco S. N. Lobo, M. K. Mak
Gravitationally coupled scalar fields , distinguished by the choice of an effective self-interaction potential , simulating a temporarily non-vanishing cosmological term,…
Analytical solutions of the Riccati equation with coefficients satisfying integral or differential conditions with arbitrary functions
Tiberiu Harko, Francisco S. N. Lobo, M. K. Mak
Ten new exact solutions of the Riccati equation are presented. The solutions are obtained by assuming certain relations among the coefficients ,…
Isotropic stars in general relativity
M. K. Mak, T. Harko
We present a general solution of the Einstein gravitational field equations for the static spherically symmetric gravitational interior spacetime of an isotropic fluid sphere. The…
A Chiellini type integrability condition for the generalized first kind Abel differential equation
Tiberiu Harko, Francisco S. N. Lobo, M. K. Mak
The Chiellini integrability condition of the first order first kind Abel equation is extended to the case of the general Abel equation of the form $dy/dx=a(…
Arbitrary scalar field and quintessence cosmological models
Tiberiu Harko, Francisco S. N. Lobo, M. K. Mak
The mechanism of the initial inflationary scenario of the universe and of its late-time acceleration can be described by assuming the existence of some gravitationally coupled scal…
Wormhole geometries in Eddington-inspired Born-Infeld gravity
Tiberiu Harko, Francisco S. N. Lobo, M. K. Mak +1
Eddington-inspired Born-Infeld gravity (EiBI) gravity is a recently proposed modified theory of gravity, based on the classic work of Eddington and on Born-Infeld nonlinear electro…
Structure of neutron, quark and exotic stars in Eddington-inspired Born-Infeld gravity
Tiberiu Harko, Francisco S. N. Lobo, M. K. Mak +1
We consider the structure and physical properties of specific classes of neutron, quark and "exoti"' stars in Eddington-inspired Born-Infeld (EiBI) gravity. The latter reduces to s…
Dark matter density profile and galactic metric in Eddington-inspired Born-Infeld gravity
Tiberiu Harko, Francisco S. N. Lobo, M. K. Mak +1
We consider the density profile of pressureless dark matter in Eddington-inspired Born-Infeld (EiBI) gravity. The gravitational field equations are investigated for a spherically s…
A class of exact solutions of the Liénard type ordinary non-linear differential equation
Tiberiu Harko, Francisco S. N. Lobo, M. K. Mak
A class of exact solutions is obtained for the Liénard type ordinary non-linear differential equation. As a first step in our study the second order Liénard type equation is transf…