Postgraduate certificate General Relativity and Cosmology

In order to understand Cosmology, the formulation and subsequent development of the Theory of Relativity was necessary. Thanks to their understanding, much more accurate results can be obtained from the electromagnetic signals sent from satellites circling the Earth's orbit. These advances undoubtedly require a profound theoretical knowledge on the part of specialists who wish to develop projects. For this reason TECH Technological University has created this 100% online program for professionals who will delve into the principles, postulates of this theory and the mathematical studies necessary to enter the primitive universe. All this will be possible thanks to the most advanced content and multimedia resources developed by specialists in this field.

University certificate

duration

6 weeks

Modality

Online

Schedule

At your own pace

Exams

Online

start date

Credits

6 ECTS

financing up to

3 months

Price(first year)

See price

The world's largest faculty of engineering”

Introduction to the Program

Enroll now in a Diploma that will give you the most relevant knowledge about General Relativity and Cosmology”

The theory of relativity published by Albert Einstein in the early 20th century not only changed physics, but also the way we understand the universe around us, from the orbit of planets to black holes. In addition, it has allowed the development of much more accurate GPS satellites. An essential knowledge to be able to create other disciplines, devices or equipment that must take into account the principles that govern the referential systems.

In this scenario, the engineering professional must have a solid knowledge of General Relativity and Cosmology, in order to contribute from the theoretical and technical point of view in the construction of projects where this theory is applied to high energy or astrophysical phenomena. That is why this academic institution has created this Diploma, where in only 6 weeks you will be able to obtain the most advanced information on this field.

For this purpose, students will be provided with innovative didactic materials that will introduce them to the postulates of special relativity, the equivalence principle, the motion of particles in the gravitational field or curved spacetime. In addition, the case studies provided by the specialized faculty of this degree program will provide a more practical approach to this teaching. Also, with the Relearning system, you will be the graduate to reduce the hours of memorization and of study normally spent in other methodologies.

TECH Global University offers the professional an excellent opportunity to study a university program in a convenient and 100% online format. All you need is an electronic device (computer, tablet or cell phone) with an Internet connection to access, at any time, the syllabus available in the Virtual Campus. This Diploma is therefore an ideal academic option for those who wish to pursue a quality education compatible with the most demanding responsibilities.

You are facing an excellent opportunity to progress with firm steps in your career as an engineer through a 100% online and flexible education”

This Postgraduate certificate in General Relativity and Cosmology contains the most complete and up-to-date program on the market. The most important features include:

Practical case studies are presented by experts in Physics
The graphic, schematic, and practical contents with which they are created, provide scientific and practical information on the disciplines that are essential for professional practice
Practical exercises where the self-assessment process can be carried out to improve learning
Its special emphasis on innovative methodologies
Theoretical lessons, questions to the expert, debate forums on controversial topics, and individual reflection assignments
Content that is accessible from any fixed or portable device with an Internet connection

You will get all the knowledge you need to understand the expansion of the universe through the Friedmann equations”

The program’s teaching staff includes professionals from the sector who contribute their work experience to this educational program, as well as renowned specialists from leading societies and prestigious universities.

Its multimedia content, developed with the latest educational technology, will provide the professional with situated and contextual learning, i.e., a simulated environment that will provide an immersive education programmed to learn in real situations.

This program is designed around Problem-Based Learning, whereby the professional must try to solve the different professional practice situations that arise throughout the program. For this purpose, the student will be assisted by an innovative interactive video system created by renowned experts.

In 6 weeks you will master the keys to General Relativity and its application in projects in the field of astrophysics"

Thanks to this teaching you will master the key concepts of scalar, vector and tensor fields"

Syllabus

Video summaries, outlines, videos in detail or complementary readings will be key in the learning of students who immerse themselves in this university degree. Thanks to these resources, the graduate will be able to go deeper into spatial relativity and the understanding of Cosmology or the thermodynamics of the early Universe whenever he/she wishes and in a much more agile way. In this way, you will achieve your objectives of career progression through solid knowledge.

A curriculum that will take you comfortably from space relativity to the thermodynamics of the early Universe. Enroll now”

Module 1. General Relativity and Cosmology

1.1. Special Relativity

1.1.1. Postulates
1.1.2. Lorentz Transformations in Standard Configuration
1.1.3. Impulses (Boosts)
1.1.4. Tensors
1.1.5. Relativistic Kinematics
1.1.6. Relativistic Linear Momentum and Energy
1.1.7. Lorentz Covariance
1.1.8. Energy-Momentum Tensor

1.2. Equivalence Principle

1.2.1. Principle of Weak Equivalence
1.2.2. Experiments on the Weak Equivalence Principle
1.2.3. Locally Inertial Reference Systems
1.2.4. Equivalence Principle
1.2.5. Consequences on the Equivalence Principle

1.3. Particle Motion in the Gravitational Field

1.3.1. Path of Particles under Gravity
1.3.2. Newtonian Limit
1.3.3. Gravitational Redshift and Tests
1.3.4. Temporary Dilatation
1.3.5. Geodesic Equation

1.4. Geometry: Necessary Concepts

1.4.1. Two-Dimensional Spaces
1.4.2. Scalar, Vector and Tensor Fields
1.4.3. Metric Tensor: Concept and Theory
1.4.4. Partial Derivative
1.4.5. Covariant Derivative
1.4.6. Christoffel Symbols
1.4.7. Covariant Derivatives of Tensors
1.4.8. Directional Covariant Derivatives
1.4.9. Divergence and Lapacian

1.5. Curved Space-Time

1.5.1. Covariant Derivative and Parallel Transport: Definition
1.5.2. Geodesics from Parallel Transport
1.5.3. Riemann Curvature Tensor
1.5.4. Riemann Tensor: Definition and Properties
1.5.5. Ricci Tensor: Definition and Properties

1.6. Einstein Equations: Derivation

1.6.1. Reformulation of the Equivalence Principle
1.6.2. Applications of the Equivalence Principle
1.6.3. Conservation and Symmetries
1.6.4. Derivation of Einstein’s Equations from the Equivalence Principle

1.7. Schwarzschild Solution

1.7.1. Schwartzschild Metrics
1.7.2. Length and Time Elements
1.7.3. Conserved Quantities
1.7.4. Equation of Motion
1.7.5. Light Deflection. Study of Schwartzschild Metrics
1.7.6. Schwartzschild Radius
1.7.7. Eddington– Finkelstein Coordinates
1.7.8. Black Holes

1.8. Linear Gravity Limits Consequences

1.8.1. Linear Gravity: Introduction
1.8.2. Coordinate Transformation
1.8.3. Linearized Einstein Equations
1.8.4. General Solution of Linearized Einstein Equations
1.8.5. Gravitational Waves
1.8.6. Effects of Gravitational Waves on Matter
1.8.7. Generation of Gravitational Waves

1.9. Cosmology: Introduction

1.9.1. Observation of the Universe: Introduction
1.9.2. Cosmological Principle
1.9.3. System of Coordinates
1.9.4. Cosmological Distances
1.9.5. The Hubble’s Law
1.9.6. Inflation

1.10. Cosmology: Mathematical Study

1.10.1. First Equation of Friedmann
1.10.2. second Equation of Friedmann
1.10.3. Densities and Scale Factor
1.10.4. Consequences of Friedmann Equations Curvature of the Universe
1.10.5. Primitive Universe Thermodynamics

TECH Global University uses the latest technology applied to university teaching to offer you multimedia pills at the height of today's academic times”

Postgraduate Certificate in General Relativity and Cosmology

Name: General Relativity and Cosmology
Availability: InStock

General relativity and cosmology are fields of theoretical physics that focus on the study of gravity and the universe as a whole, ranging from its structure to its evolution. These fields are crucial for the understanding of astrophysical phenomena and the exploration of the cosmos. In order to broaden the knowledge of professionals interested in working in this field, TECH Global University has developed a wide Postgraduate Certificate in General Relativity and Cosmology which, in addition to including in its curriculum the most complete and updated contents, has a highly qualified teaching staff. The program is taught in online mode and has an innovative educational scheme that will provide you with the most relevant contents in the market, among them, the history and structure of the universe, as well as the theoretical models that have been developed to explain its evolution. In addition, you will become familiar with the main concepts of observational cosmology and astrophysics.

All about general relativity and cosmology in this Postgraduate Certificate

General relativity is the theory of gravity developed by Albert Einstein in 1915. This revolutionary theory has been crucial in understanding astrophysical phenomena such as black holes, gravitational waves and the structure of the universe as a whole. This TECH Postgraduate Certificate will provide you with an in-depth understanding of the theory and its applications, as well as the mathematical tools necessary to perform accurate and rigorous calculations. Here, we offer you the possibility of improving your knowledge in the area, through a system of self-regulated classes, state-of-the-art multimedia material and tutorials with experts in the field. This way, you will delve into the paradox of the horizon, dark matter and dark energy, followed by the study of the possibility of an inflationary universe. You will also delve into advanced topics such as the quantum theory of gravity and the physics of black holes. Do you want to know more? Make the decision and enroll now, we are waiting for you!