Education
PhD - Theoretical Physics - Baylor University, Waco, Texas - 2020-Present
MA - Theoretical Physics - Baylor University, Waco, Texas - 2023
MS - Physics - University of Texas at Dallas - 2011
MS - Computer Science - Old Dominion University, Norfolk, VA - 1993
BS - Mechanical Engineering - Institution of Engineers(India) - Kolkatta - 1988
Research in progress
A review of wormholes in higher dimensional gravity theories.
Title: Computing gauge invariant Bardeen variables for gravitational plane waves and comparing them with their Cartan invariants.
Usually the Newman-Penrose (NP) formalism is used to investigate the polarization states of gravitational waves (GWs). The gauge invariant Bardeen formalism is much more suitable because 1. The number of Polarization states is always equal to or less then the number of Bardeen variables and 2. The calculations are much simpler in this formalism. In this project we apply the Bardeen formalism to gravitational plane waves to first calculate the Bardeen variables by applying an appropriate gauge and then compute all the curvature tensors in Einstein's gravity. For plane-waves we plan to compare the gauge invariant Bardeen quantities with the Cartan invariants that encode all information about a spacetime and determine if they are in fact the same geometric quantities. If they are, we can develop a frame-based formalism for linear approximations of gravitational solutions, and this has applications to modified gravitational theories. If they are not, we can explicitly point out what information about the plane waves that the Bardeen variables misses.
Authors: Ramesh Radhakrishnan, David McNutt, Eric Davis, Delaram Mirfendereski and Gerald Cleaver
Affiliation: All Authors are affiliated with the below two groups.
Ramesh Radhakrishnan and Dr Gerald Cleaver are associated with the groups below.
Early Universe, Cosmology and Strings (EUCOS) Group, Center for Astrophysics, Space Physics and Engineering Research (CASPER), Baylor University, Waco, TX 76798
Department of Physics, Baylor University, Waco, TX 76798, USA
Dr David McNutt is associated with UiT: The Arctic University of Norway, Department of Mathematics and
Statistics, 9019, Tromsø, Norway,
Research Publications
A review of stable, traversable wormholes in f(R) gravity theories 2405.05476v2
Authors: Ramesh Radhakrishnan, Patrick Brown, Jacob Matulevich, Eric Davis, Delaram Mirfendereski and Gerald Cleaver
Stabilizing Extra Dimensions: Revisiting the role of Non-Minimal Bulk Scalar Fields and Casimir Energy in the Randall-Sundrum Two Brane Model (RS1) Abinash Kar, Ramesh Radhakrishnan and Gerald B. Cleaver To be Published in MDPI Physics soon...
First and Second-Order Forces in the Asymmetric Dynamical Casimir Effect for a Single δ − δ′ Mirror Matthew J. Gorban, William D. Julius, Patrick M. Brown, Jacob A. Matulevich, Ramesh Radhakrishnan and Gerald B. Cleaver MDPI Physics journal publication. https://www.mdpi.com/2624-8174/6/2/47
Interference phenomena in the asymmetric dynamical Casimir effect for a single δ−δ′ mirror
Matthew J. Gorban, William D. Julius, Ramesh Radhakrishnan, and Gerald B. Cleaver
Phys. Rev. D 108, 096037 – Published 30 November 2023.
https://journals.aps.org/prd/abstract/10.1103/PhysRevD.108.096037
Killing Invariants: An approach to the sub-classification of geometries with symmetry Brown, C., Gorban, M., Julius, W., Radhakrishnan, R., Cleaver, G., and McNutt, D., (Pre-Print: https://arxiv.org/abs/2312.114) Publication: Killing invariants: an approach to the sub-classification of geometries with symmetry | General Relativity and Gravitation
Conference Presentations
Presentation at the Texas APS in SMU, Dallas, Texas: Traversable wormholes in f(R) gravity theories: APS -Fall 2024 Joint Meeting of the Texas Section of the APS, Texas Section of the AAPT & Zone 13 of the SPS - Event - Traversable Wormholes in f(R) Gravity Theories
Presentation at American Physical Society (APS) April 2024: Sacramento, CA. Abstract ID: 2239236: Comparing gauge invariant Bardeen variables with Cartan invariants for Plane gravitational waves.
Presentation at Midwest Relativity conference: University of Chicago - Nov 17 2023: Simplest set of modifications to Einstein's Gravity to construct stable traversable wormholes; 33rd Midwest Relativity Meeting | Participants (uchicago.edu)
Poster Presentation at American Physical Society (APS) April 2023: Abstract: P01.00069 : Production of the Asymmetric Dynamical Casimir Effect Due to Time Dependent Delta Derivatives and Time Dependent Asymmetric Robin Boundaries
Graduate Colloquium Presentation at Baylor University: Fall 2022: Curvature Invariants for Lorentzian Traversable Wormholes
Graduate Colloquium Presentation at Baylor University: Spring 2022: Traversable Wormholes
Graduate Colloquium Presentation at Baylor University: Spring 2021: Light Induced Superconductivity
Graduate Colloquium Presentation at Baylor University: Fall 2020: THZ Spectroscopy: Effects of Microstructure Variations on Macroscopic Terahertz Metafilm Properties
Awards and Honors
Graduate School Fellowship - Baylor University, Fall 2020 - $3000 per year for 5 years
Graduate Tuition Scholarship - Baylor University, Fall 2020 - Covers tuition for 5 years
APS DGRAV Award $400 - APS April 2024 meeting, Sacramento, CA
Travel Award $400. Gravity Workhop @ LSU 2023
Ramesh Radhakrishnan
Sponsor: Dr. Gerald Cleaver
"Use of Scalar Invariants and C-K Algorithm for Surface Detection, Limiting Schemes, and Comparing Spacetimes"
Workshop on Gravity: Classical, Quantum, Theoretical and Experimental. Baton Rouge, LA. March 16-19, 2023. Department of Physics & Astronomy, Louisiana State University
Travel Award $400 - Travel to Minneapolis APS April 2023
Ramesh Radhakrishnan
Sponsor: Dr. Gerald Cleaver
"Production of the Asymmetric Dynamical Casimir Effect Due to Time Dependent Delta Derivatives and Time Dependent Asymmetric Robin Boundaries"
APS April Meeting. Minneapolis, MN. April 15-18, 2023.
Travel Award $400 - Travel to Chicago - 33rd Midwest Relativity Meeting - University of Chicago
Ramesh Radhakrishnan
Sponsor: Dr. Gerald Cleaver
"Study of Wormhole solutions in extended gravity theories"
33rd Midwest Relativity Meeting, Kavli Institute of Cosmological Physics, U of Chicago, Chicago Illinois, Nov 2023