A black hole is not simply a larger and denser neutron star. While both neutron stars and black holes are formed from the remnants of massive stars, they have distinct properties and characteristics.
A neutron star is the dense, collapsed core of a massive star that has undergone a supernova explosion. Neutron stars are incredibly dense, composed primarily of neutrons, and they have a strong gravitational field. However, they are not infinitely dense, and their gravitational pull can still be escaped if one has enough energy.
On the other hand, a black hole is formed when the core of a massive star collapses under its own gravity to a point of infinite density, known as a singularity. This collapse creates a region in space where gravity is so strong that nothing, including light, can escape from it. This region is surrounded by an event horizon, which is the boundary beyond which nothing can escape the gravitational pull of the black hole.
The study of black holes and their properties requires complex mathematical descriptions, such as those provided by general relativity. General relativity is a theory that describes gravity as the curvature of spacetime caused by the presence of mass and energy. It involves intricate mathematical equations to describe the behavior of spacetime in the vicinity of massive objects, including black holes.
So, while black holes can be described using complex mathematical models and equations, they are fundamentally different from neutron stars in terms of their density, gravitational effects, and the presence of an event horizon.